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Finding the Fourth Proportional to 100,182.10, 138,251.53 and 54,863.05

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Solution

The fourth proportional to 100,182.10, 138,251.53 and 54,863.05 is: 75,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,182.10 : 138,251.53 = 54,863.05 : x
  2. Step 2: Convert to fraction form
    100,182.10/138,251.53 = 54,863.05/x
  3. Step 3: Cross multiply
    100,182.10x = 138,251.53 × 54,863.05
  4. Step 4: Simplify right side
    100,182.10x = 7,584,900,430.15
  5. Step 5: Solve for x
    x = 7,584,900,430.15/100,182.10
  6. Step 6: Final answer
    x = 75,711.14

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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.