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Finding the Fourth Proportional to 123,529.38, 170,451.16 and 71,857.92

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Solution

The fourth proportional to 123,529.38, 170,451.16 and 71,857.92 is: 99,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,529.38 : 170,451.16 = 71,857.92 : x
  2. Step 2: Convert to fraction form
    123,529.38/170,451.16 = 71,857.92/x
  3. Step 3: Cross multiply
    123,529.38x = 170,451.16 × 71,857.92
  4. Step 4: Simplify right side
    123,529.38x = 12,248,265,819.19
  5. Step 5: Solve for x
    x = 12,248,265,819.19/123,529.38
  6. Step 6: Final answer
    x = 99,152.65

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Why These Related Problems?

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