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Finding the Fourth Proportional to 83,105.43, 115,459.73 and 82,108.97

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Solution

The fourth proportional to 83,105.43, 115,459.73 and 82,108.97 is: 114,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,105.43 : 115,459.73 = 82,108.97 : x
  2. Step 2: Convert to fraction form
    83,105.43/115,459.73 = 82,108.97/x
  3. Step 3: Cross multiply
    83,105.43x = 115,459.73 × 82,108.97
  4. Step 4: Simplify right side
    83,105.43x = 9,480,279,506.78
  5. Step 5: Solve for x
    x = 9,480,279,506.78/83,105.43
  6. Step 6: Final answer
    x = 114,075.33

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.