Buy a house with the method of installment payment, and through negotiation, the purchase price will be paid off in three installments. After the first payment, each subsequent payment is 20% more than the previous one. Knowing that the second payment is 15,000 yuan, how much is the total payment required to buy this house?
用分期付款的方法购买一套住房，通过协商，购房款分三次付清．第一次付款后，以后每次比前一次多付20%，已知第二次付款15000元，买这套住房共需付款多少元？
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">15_000 / (6/5)</gadget>
<output>12_500</output>

<gadget id="calculator">15_000 * (6/5)</gadget>
<output>18_000</output>

<gadget id="calculator">12_500 + 15_000 + 18_000</gadget>
<output>45_500</output>

<result>45_500</result>