Jennifer is the owner of a video game and entertainment software retail store. She is currently planning to retire in $30$ years and wishes to withdraw $$10,000/$month for $20$ years from her retirement account starting at that time. How much must she contribute each month for $30$ years into a retirement account earning interest at the rate of $3\%/$year compounded monthly to meet her retirement goal? $($Round your answer to the nearest cent.$)$

$