Convert the following Beef Stew recipe from $100$ portions to $250$ portions. Indicate the cost per recipe ingredient, total cost and cost per serving using the cost data provided in the table below. Be sure to convert quantities to appropriate units of measure.

$\backslash$table$[[$Ingredient$,\backslash$table$[[100],[$portions$],[$EP$],[$Quantity$]],\backslash$table$[[250],[$portions$],[$Quantity$]],$AP Cost,$\backslash$table$[[$AP$],[$Unit$]],\backslash$table$[[$Yield$],[$Factor$]],\backslash$table$[[$Cost for$],[250],[$portions$]]],[$Beef$,1^{\text{'}\text{'}}$ cubes,$23lb\mathrm{.}8oz,,$$$4\mathrm{.}38,$lb$,,],[$Water$,1$gal$2gt,,\frac{n}{c},,,],[$Salt$,4oz,,$$$4\mathrm{.}12,10lb,,],[$Pepper$,$ ground,$2$ Tbsp$,,$$$29\mathrm{.}52,5lb,,],[$Potatoes$,$ cubed,$4lb,,$$$18\mathrm{.}00,25lb,\mathrm{.}81,],[$Carrots$,$ sliced,$4lb,,$$$11\mathrm{.}99,25lb,\mathrm{.}83,],[$Onion$,$ diced,$2lb,,$$$26\mathrm{.}80,40lb,\mathrm{.}88,],[$Celery$,$ diced,$2lb8oz,,$$$20\mathrm{.}85,30lb,\mathrm{.}83,],[$Flour$,$ AP$,10oz,,$$$12\mathrm{.}95,25lb,,],[,,$Total Cost for $250$ portions,,$],[,,$Cost per portion,,$]]$