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Finding the Fourth Proportional to 132,658.40, 198,987.60 and 106,414.40

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Solution

The fourth proportional to 132,658.40, 198,987.60 and 106,414.40 is: 159,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,658.40 : 198,987.60 = 106,414.40 : x
  2. Step 2: Convert to fraction form
    132,658.40/198,987.60 = 106,414.40/x
  3. Step 3: Cross multiply
    132,658.40x = 198,987.60 × 106,414.40
  4. Step 4: Simplify right side
    132,658.40x = 21,175,146,061.44
  5. Step 5: Solve for x
    x = 21,175,146,061.44/132,658.40
  6. Step 6: Final answer
    x = 159,621.60

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1.5x scale

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.