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Finding the Fourth Proportional to 138,339.97, 190,507.17 and 120,182.40

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Solution

The fourth proportional to 138,339.97, 190,507.17 and 120,182.40 is: 165,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,339.97 : 190,507.17 = 120,182.40 : x
  2. Step 2: Convert to fraction form
    138,339.97/190,507.17 = 120,182.40/x
  3. Step 3: Cross multiply
    138,339.97x = 190,507.17 × 120,182.40
  4. Step 4: Simplify right side
    138,339.97x = 22,895,608,306.90
  5. Step 5: Solve for x
    x = 22,895,608,306.90/138,339.97
  6. Step 6: Final answer
    x = 165,502.48

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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.