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Finding the Fourth Proportional to 132,685.43, 199,042.11 and 76,524.28

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Solution

The fourth proportional to 132,685.43, 199,042.11 and 76,524.28 is: 114,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,685.43 : 199,042.11 = 76,524.28 : x
  2. Step 2: Convert to fraction form
    132,685.43/199,042.11 = 76,524.28/x
  3. Step 3: Cross multiply
    132,685.43x = 199,042.11 × 76,524.28
  4. Step 4: Simplify right side
    132,685.43x = 15,231,553,659.83
  5. Step 5: Solve for x
    x = 15,231,553,659.83/132,685.43
  6. Step 6: Final answer
    x = 114,794.47

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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.