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Finding the Fourth Proportional to 100,305.14, 138,418.08 and 54,982.13

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Solution

The fourth proportional to 100,305.14, 138,418.08 and 54,982.13 is: 75,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,305.14 : 138,418.08 = 54,982.13 : x
  2. Step 2: Convert to fraction form
    100,305.14/138,418.08 = 54,982.13/x
  3. Step 3: Cross multiply
    100,305.14x = 138,418.08 × 54,982.13
  4. Step 4: Simplify right side
    100,305.14x = 7,610,520,868.91
  5. Step 5: Solve for x
    x = 7,610,520,868.91/100,305.14
  6. Step 6: Final answer
    x = 75,873.69

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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.