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Finding the Fourth Proportional to 83,082.78, 114,983.19 and 81,092.61

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Solution

The fourth proportional to 83,082.78, 114,983.19 and 81,092.61 is: 112,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.78 : 114,983.19 = 81,092.61 : x
  2. Step 2: Convert to fraction form
    83,082.78/114,983.19 = 81,092.61/x
  3. Step 3: Cross multiply
    83,082.78x = 114,983.19 × 81,092.61
  4. Step 4: Simplify right side
    83,082.78x = 9,324,286,983.23
  5. Step 5: Solve for x
    x = 9,324,286,983.23/83,082.78
  6. Step 6: Final answer
    x = 112,228.88

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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.