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Finding the Fourth Proportional to 100,422.18, 138,581.42 and 57,979.80

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Solution

The fourth proportional to 100,422.18, 138,581.42 and 57,979.80 is: 80,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.18 : 138,581.42 = 57,979.80 : x
  2. Step 2: Convert to fraction form
    100,422.18/138,581.42 = 57,979.80/x
  3. Step 3: Cross multiply
    100,422.18x = 138,581.42 × 57,979.80
  4. Step 4: Simplify right side
    100,422.18x = 8,034,923,015.32
  5. Step 5: Solve for x
    x = 8,034,923,015.32/100,422.18
  6. Step 6: Final answer
    x = 80,011.44

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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.