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Finding the Fourth Proportional to 234,522.39, 351,849.24 and 76,861.56

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Solution

The fourth proportional to 234,522.39, 351,849.24 and 76,861.56 is: 115,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,522.39 : 351,849.24 = 76,861.56 : x
  2. Step 2: Convert to fraction form
    234,522.39/351,849.24 = 76,861.56/x
  3. Step 3: Cross multiply
    234,522.39x = 351,849.24 × 76,861.56
  4. Step 4: Simplify right side
    234,522.39x = 27,043,681,471.21
  5. Step 5: Solve for x
    x = 27,043,681,471.21/234,522.39
  6. Step 6: Final answer
    x = 115,313.86

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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.