May's Dress Shop's inventory at cost on January $1$ was $$42,000.$ Its retail value was $$62,000.$ During the year, May purchased additional merchandise at a cost of $$195,600$ with a retail value of $$395,600.$ The net sales at retail for the year were $$351,000.$

Calculate May's inventory at cost by the retail method.

Note: Round the "cost ratio" to the nearest whole percent.

$\backslash$table$[[,$Cost,Retail$],[$Beginning inventory,,$],[$Purchases$,,],[$Cost of goods available for sale,,$],[$Less net sales for year,,$],[$Ending inventory at retail,,$],[$Cost ratio,,$],[$Ending inventory at cost$,,]]$