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Finding the Fourth Proportional to 83,642.10, 115,266.58 and 82,104.72

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Solution

The fourth proportional to 83,642.10, 115,266.58 and 82,104.72 is: 113,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,642.10 : 115,266.58 = 82,104.72 : x
  2. Step 2: Convert to fraction form
    83,642.10/115,266.58 = 82,104.72/x
  3. Step 3: Cross multiply
    83,642.10x = 115,266.58 × 82,104.72
  4. Step 4: Simplify right side
    83,642.10x = 9,463,930,276.26
  5. Step 5: Solve for x
    x = 9,463,930,276.26/83,642.10
  6. Step 6: Final answer
    x = 113,147.93

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