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Finding the Fourth Proportional to 83,201.60, 114,800.13 and 49,211.97

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Solution

The fourth proportional to 83,201.60, 114,800.13 and 49,211.97 is: 67,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.60 : 114,800.13 = 49,211.97 : x
  2. Step 2: Convert to fraction form
    83,201.60/114,800.13 = 49,211.97/x
  3. Step 3: Cross multiply
    83,201.60x = 114,800.13 × 49,211.97
  4. Step 4: Simplify right side
    83,201.60x = 5,649,540,553.56
  5. Step 5: Solve for x
    x = 5,649,540,553.56/83,201.60
  6. Step 6: Final answer
    x = 67,901.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.