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Finding the Fourth Proportional to 234,966.42, 352,375.11 and 77,158.17

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Solution

The fourth proportional to 234,966.42, 352,375.11 and 77,158.17 is: 115,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,966.42 : 352,375.11 = 77,158.17 : x
  2. Step 2: Convert to fraction form
    234,966.42/352,375.11 = 77,158.17/x
  3. Step 3: Cross multiply
    234,966.42x = 352,375.11 × 77,158.17
  4. Step 4: Simplify right side
    234,966.42x = 27,188,618,641.15
  5. Step 5: Solve for x
    x = 27,188,618,641.15/234,966.42
  6. Step 6: Final answer
    x = 115,712.78

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Why These Related Problems?

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