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Finding the Fourth Proportional to 242,363.28, 363,711 and 84,591.76

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Solution

The fourth proportional to 242,363.28, 363,711 and 84,591.76 is: 126,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,363.28 : 363,711 = 84,591.76 : x
  2. Step 2: Convert to fraction form
    242,363.28/363,711 = 84,591.76/x
  3. Step 3: Cross multiply
    242,363.28x = 363,711 × 84,591.76
  4. Step 4: Simplify right side
    242,363.28x = 30,766,953,621.36
  5. Step 5: Solve for x
    x = 30,766,953,621.36/242,363.28
  6. Step 6: Final answer
    x = 126,945.61

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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.