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Finding the Fourth Proportional to 219,627.60, 329,441.40 and 182,229.90

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Solution

The fourth proportional to 219,627.60, 329,441.40 and 182,229.90 is: 273,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,627.60 : 329,441.40 = 182,229.90 : x
  2. Step 2: Convert to fraction form
    219,627.60/329,441.40 = 182,229.90/x
  3. Step 3: Cross multiply
    219,627.60x = 329,441.40 × 182,229.90
  4. Step 4: Simplify right side
    219,627.60x = 60,034,073,377.86
  5. Step 5: Solve for x
    x = 60,034,073,377.86/219,627.60
  6. Step 6: Final answer
    x = 273,344.85

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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.