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Finding the Fourth Proportional to 100,686.38, 138,978.18 and 64,876.28

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Solution

The fourth proportional to 100,686.38, 138,978.18 and 64,876.28 is: 89,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.38 : 138,978.18 = 64,876.28 : x
  2. Step 2: Convert to fraction form
    100,686.38/138,978.18 = 64,876.28/x
  3. Step 3: Cross multiply
    100,686.38x = 138,978.18 × 64,876.28
  4. Step 4: Simplify right side
    100,686.38x = 9,016,387,319.57
  5. Step 5: Solve for x
    x = 9,016,387,319.57/100,686.38
  6. Step 6: Final answer
    x = 89,549.23

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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.