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Finding the Fourth Proportional to 234,474.92, 351,745.16 and 76,715.76

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Solution

The fourth proportional to 234,474.92, 351,745.16 and 76,715.76 is: 115,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,474.92 : 351,745.16 = 76,715.76 : x
  2. Step 2: Convert to fraction form
    234,474.92/351,745.16 = 76,715.76/x
  3. Step 3: Cross multiply
    234,474.92x = 351,745.16 × 76,715.76
  4. Step 4: Simplify right side
    234,474.92x = 26,984,397,275.72
  5. Step 5: Solve for x
    x = 26,984,397,275.72/234,474.92
  6. Step 6: Final answer
    x = 115,084.36

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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.