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Finding the Fourth Proportional to 242,188.80, 363,179.52 and 75,989.76

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Solution

The fourth proportional to 242,188.80, 363,179.52 and 75,989.76 is: 113,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,188.80 : 363,179.52 = 75,989.76 : x
  2. Step 2: Convert to fraction form
    242,188.80/363,179.52 = 75,989.76/x
  3. Step 3: Cross multiply
    242,188.80x = 363,179.52 × 75,989.76
  4. Step 4: Simplify right side
    242,188.80x = 27,597,924,561.72
  5. Step 5: Solve for x
    x = 27,597,924,561.72/242,188.80
  6. Step 6: Final answer
    x = 113,952.11

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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.