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Finding the Fourth Proportional to 234,876, 352,350.68 and 77,068.56

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Solution

The fourth proportional to 234,876, 352,350.68 and 77,068.56 is: 115,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,876 : 352,350.68 = 77,068.56 : x
  2. Step 2: Convert to fraction form
    234,876/352,350.68 = 77,068.56/x
  3. Step 3: Cross multiply
    234,876x = 352,350.68 × 77,068.56
  4. Step 4: Simplify right side
    234,876x = 27,155,159,522.62
  5. Step 5: Solve for x
    x = 27,155,159,522.62/234,876
  6. Step 6: Final answer
    x = 115,614.88

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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.