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Finding the Fourth Proportional to 103,691.38, 143,097.34 and 58,982.26

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Solution

The fourth proportional to 103,691.38, 143,097.34 and 58,982.26 is: 81,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691.38 : 143,097.34 = 58,982.26 : x
  2. Step 2: Convert to fraction form
    103,691.38/143,097.34 = 58,982.26/x
  3. Step 3: Cross multiply
    103,691.38x = 143,097.34 × 58,982.26
  4. Step 4: Simplify right side
    103,691.38x = 8,440,204,513.19
  5. Step 5: Solve for x
    x = 8,440,204,513.19/103,691.38
  6. Step 6: Final answer
    x = 81,397.36

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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.