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Finding the Fourth Proportional to 221,713.20, 332,132.40 and 132,702.30

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Solution

The fourth proportional to 221,713.20, 332,132.40 and 132,702.30 is: 198,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,713.20 : 332,132.40 = 132,702.30 : x
  2. Step 2: Convert to fraction form
    221,713.20/332,132.40 = 132,702.30/x
  3. Step 3: Cross multiply
    221,713.20x = 332,132.40 × 132,702.30
  4. Step 4: Simplify right side
    221,713.20x = 44,074,733,384.52
  5. Step 5: Solve for x
    x = 44,074,733,384.52/221,713.20
  6. Step 6: Final answer
    x = 198,791.65

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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.