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Finding the Fourth Proportional to 132,097.88, 198,146.12 and 32,258.58

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Solution

The fourth proportional to 132,097.88, 198,146.12 and 32,258.58 is: 48,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,097.88 : 198,146.12 = 32,258.58 : x
  2. Step 2: Convert to fraction form
    132,097.88/198,146.12 = 32,258.58/x
  3. Step 3: Cross multiply
    132,097.88x = 198,146.12 × 32,258.58
  4. Step 4: Simplify right side
    132,097.88x = 6,391,912,302.42
  5. Step 5: Solve for x
    x = 6,391,912,302.42/132,097.88
  6. Step 6: Final answer
    x = 48,387.70

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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.