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Finding the Fourth Proportional to 351,739, 527,767.68 and 138,448.18

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Solution

The fourth proportional to 351,739, 527,767.68 and 138,448.18 is: 207,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,739 : 527,767.68 = 138,448.18 : x
  2. Step 2: Convert to fraction form
    351,739/527,767.68 = 138,448.18/x
  3. Step 3: Cross multiply
    351,739x = 527,767.68 × 138,448.18
  4. Step 4: Simplify right side
    351,739x = 73,068,474,758.82
  5. Step 5: Solve for x
    x = 73,068,474,758.82/351,739
  6. Step 6: Final answer
    x = 207,734.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.