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Finding the Fourth Proportional to 132,081.20, 198,121.80 and 128,193.20

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Solution

The fourth proportional to 132,081.20, 198,121.80 and 128,193.20 is: 192,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,081.20 : 198,121.80 = 128,193.20 : x
  2. Step 2: Convert to fraction form
    132,081.20/198,121.80 = 128,193.20/x
  3. Step 3: Cross multiply
    132,081.20x = 198,121.80 × 128,193.20
  4. Step 4: Simplify right side
    132,081.20x = 25,397,867,531.76
  5. Step 5: Solve for x
    x = 25,397,867,531.76/132,081.20
  6. Step 6: Final answer
    x = 192,289.80

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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.