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Finding the Fourth Proportional to 242,308.78, 363,520.68 and 76,096.78

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Solution

The fourth proportional to 242,308.78, 363,520.68 and 76,096.78 is: 114,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,308.78 : 363,520.68 = 76,096.78 : x
  2. Step 2: Convert to fraction form
    242,308.78/363,520.68 = 76,096.78/x
  3. Step 3: Cross multiply
    242,308.78x = 363,520.68 × 76,096.78
  4. Step 4: Simplify right side
    242,308.78x = 27,662,753,211.41
  5. Step 5: Solve for x
    x = 27,662,753,211.41/242,308.78
  6. Step 6: Final answer
    x = 114,163.23

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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.