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Finding the Fourth Proportional to 132,043.44, 198,097.92 and 65,514.96

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Solution

The fourth proportional to 132,043.44, 198,097.92 and 65,514.96 is: 98,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,043.44 : 198,097.92 = 65,514.96 : x
  2. Step 2: Convert to fraction form
    132,043.44/198,097.92 = 65,514.96/x
  3. Step 3: Cross multiply
    132,043.44x = 198,097.92 × 65,514.96
  4. Step 4: Simplify right side
    132,043.44x = 12,978,377,304.88
  5. Step 5: Solve for x
    x = 12,978,377,304.88/132,043.44
  6. Step 6: Final answer
    x = 98,288.69

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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.