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Finding the Fourth Proportional to 234,041.92, 351,087.60 and 76,282.72

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Solution

The fourth proportional to 234,041.92, 351,087.60 and 76,282.72 is: 114,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,041.92 : 351,087.60 = 76,282.72 : x
  2. Step 2: Convert to fraction form
    234,041.92/351,087.60 = 76,282.72/x
  3. Step 3: Cross multiply
    234,041.92x = 351,087.60 × 76,282.72
  4. Step 4: Simplify right side
    234,041.92x = 26,781,917,086.27
  5. Step 5: Solve for x
    x = 26,781,917,086.27/234,041.92
  6. Step 6: Final answer
    x = 114,432.14

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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.