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Finding the Fourth Proportional to 242,793.46, 364,190.35 and 76,594.42

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Solution

The fourth proportional to 242,793.46, 364,190.35 and 76,594.42 is: 114,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,793.46 : 364,190.35 = 76,594.42 : x
  2. Step 2: Convert to fraction form
    242,793.46/364,190.35 = 76,594.42/x
  3. Step 3: Cross multiply
    242,793.46x = 364,190.35 × 76,594.42
  4. Step 4: Simplify right side
    242,793.46x = 27,894,948,627.85
  5. Step 5: Solve for x
    x = 27,894,948,627.85/242,793.46
  6. Step 6: Final answer
    x = 114,891.68

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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.