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Finding the Fourth Proportional to 132,659.47, 198,988.75 and 53,773.47

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Solution

The fourth proportional to 132,659.47, 198,988.75 and 53,773.47 is: 80,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,659.47 : 198,988.75 = 53,773.47 : x
  2. Step 2: Convert to fraction form
    132,659.47/198,988.75 = 53,773.47/x
  3. Step 3: Cross multiply
    132,659.47x = 198,988.75 × 53,773.47
  4. Step 4: Simplify right side
    132,659.47x = 10,700,315,645.68
  5. Step 5: Solve for x
    x = 10,700,315,645.68/132,659.47
  6. Step 6: Final answer
    x = 80,660.02

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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.