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Finding the Fourth Proportional to 242,498.28, 363,805.92 and 76,286.28

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Solution

The fourth proportional to 242,498.28, 363,805.92 and 76,286.28 is: 114,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,498.28 : 363,805.92 = 76,286.28 : x
  2. Step 2: Convert to fraction form
    242,498.28/363,805.92 = 76,286.28/x
  3. Step 3: Cross multiply
    242,498.28x = 363,805.92 × 76,286.28
  4. Step 4: Simplify right side
    242,498.28x = 27,753,400,278.78
  5. Step 5: Solve for x
    x = 27,753,400,278.78/242,498.28
  6. Step 6: Final answer
    x = 114,447.82

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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.