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Finding the Fourth Proportional to 234,164.92, 351,262.50 and 82,343.38

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Solution

The fourth proportional to 234,164.92, 351,262.50 and 82,343.38 is: 123,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,164.92 : 351,262.50 = 82,343.38 : x
  2. Step 2: Convert to fraction form
    234,164.92/351,262.50 = 82,343.38/x
  3. Step 3: Cross multiply
    234,164.92x = 351,262.50 × 82,343.38
  4. Step 4: Simplify right side
    234,164.92x = 28,924,141,517.25
  5. Step 5: Solve for x
    x = 28,924,141,517.25/234,164.92
  6. Step 6: Final answer
    x = 123,520.39

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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.