Jerry Carter's home is currently valued, on a replacement cost basis, at $$278,000.$ When he last checked his policy, his home was insured for $$204,338$ and he did not have an inflation guard endorsement. If he has a $$18,280$ claim due to a kitchen fire, how much will his homeowner's insurance policy pay? How much would be paid if his home were totally destroyed? In order to obtain full replacement coverage, how much insurance should Jerry carry on his house?

If he has a $$18,280$ claim due to a kitchen fire, his homeowner's policy would pay $

$($Round to the nearest dollar.$)$