Donald Peterson owes $$115,200$ on a $6\%,130-$day note. On day $30,$ he pays $$28,800$ on the note. On day $90,$ he pays an additional $$46,080.$

Based on the U$.$S$.$ Rule, calculate the following. $($Use a $360-$day year, and round all answers to the nearest cent.$)$

$1.$ Adjusted balance after the first payment: $

$2.$ Adjusted balance after the second payment: $

$3.$ Balance at maturity