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Finding the Fourth Proportional to 234,165.92, 351,264 and 82,344.38

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Solution

The fourth proportional to 234,165.92, 351,264 and 82,344.38 is: 123,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,165.92 : 351,264 = 82,344.38 : x
  2. Step 2: Convert to fraction form
    234,165.92/351,264 = 82,344.38/x
  3. Step 3: Cross multiply
    234,165.92x = 351,264 × 82,344.38
  4. Step 4: Simplify right side
    234,165.92x = 28,924,616,296.32
  5. Step 5: Solve for x
    x = 28,924,616,296.32/234,165.92
  6. Step 6: Final answer
    x = 123,521.89

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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.