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Finding the Fourth Proportional to 103,414.88, 142,724.82 and 58,092.95

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Solution

The fourth proportional to 103,414.88, 142,724.82 and 58,092.95 is: 80,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.88 : 142,724.82 = 58,092.95 : x
  2. Step 2: Convert to fraction form
    103,414.88/142,724.82 = 58,092.95/x
  3. Step 3: Cross multiply
    103,414.88x = 142,724.82 × 58,092.95
  4. Step 4: Simplify right side
    103,414.88x = 8,291,305,118.39
  5. Step 5: Solve for x
    x = 8,291,305,118.39/103,414.88
  6. Step 6: Final answer
    x = 80,175.17

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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.