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Finding the Fourth Proportional to 234,115.56, 351,189.23 and 82,294.20

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Solution

The fourth proportional to 234,115.56, 351,189.23 and 82,294.20 is: 123,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,115.56 : 351,189.23 = 82,294.20 : x
  2. Step 2: Convert to fraction form
    234,115.56/351,189.23 = 82,294.20/x
  3. Step 3: Cross multiply
    234,115.56x = 351,189.23 × 82,294.20
  4. Step 4: Simplify right side
    234,115.56x = 28,900,836,731.47
  5. Step 5: Solve for x
    x = 28,900,836,731.47/234,115.56
  6. Step 6: Final answer
    x = 123,446.89

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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.