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Finding the Fourth Proportional to 221,410.60, 332,115.90 and 132,764.20

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Solution

The fourth proportional to 221,410.60, 332,115.90 and 132,764.20 is: 199,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,410.60 : 332,115.90 = 132,764.20 : x
  2. Step 2: Convert to fraction form
    221,410.60/332,115.90 = 132,764.20/x
  3. Step 3: Cross multiply
    221,410.60x = 332,115.90 × 132,764.20
  4. Step 4: Simplify right side
    221,410.60x = 44,093,101,770.78
  5. Step 5: Solve for x
    x = 44,093,101,770.78/221,410.60
  6. Step 6: Final answer
    x = 199,146.30

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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.