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Finding the Fourth Proportional to 132,584.40, 198,657.90 and 112,901.40

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Solution

The fourth proportional to 132,584.40, 198,657.90 and 112,901.40 is: 169,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,584.40 : 198,657.90 = 112,901.40 : x
  2. Step 2: Convert to fraction form
    132,584.40/198,657.90 = 112,901.40/x
  3. Step 3: Cross multiply
    132,584.40x = 198,657.90 × 112,901.40
  4. Step 4: Simplify right side
    132,584.40x = 22,428,755,031.06
  5. Step 5: Solve for x
    x = 22,428,755,031.06/132,584.40
  6. Step 6: Final answer
    x = 169,165.87

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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.