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Finding the Fourth Proportional to 100,414.16, 138,557.20 and 60,118.28

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Solution

The fourth proportional to 100,414.16, 138,557.20 and 60,118.28 is: 82,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414.16 : 138,557.20 = 60,118.28 : x
  2. Step 2: Convert to fraction form
    100,414.16/138,557.20 = 60,118.28/x
  3. Step 3: Cross multiply
    100,414.16x = 138,557.20 × 60,118.28
  4. Step 4: Simplify right side
    100,414.16x = 8,329,820,545.62
  5. Step 5: Solve for x
    x = 8,329,820,545.62/100,414.16
  6. Step 6: Final answer
    x = 82,954.64

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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.