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Finding the Fourth Proportional to 186,265.14, 257,045.68 and 101,382

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Solution

The fourth proportional to 186,265.14, 257,045.68 and 101,382 is: 139,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,265.14 : 257,045.68 = 101,382 : x
  2. Step 2: Convert to fraction form
    186,265.14/257,045.68 = 101,382/x
  3. Step 3: Cross multiply
    186,265.14x = 257,045.68 × 101,382
  4. Step 4: Simplify right side
    186,265.14x = 26,059,805,129.76
  5. Step 5: Solve for x
    x = 26,059,805,129.76/186,265.14
  6. Step 6: Final answer
    x = 139,907.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.