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Finding the Fourth Proportional to 269,843.85, 404,691.90 and 101,351.16

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Solution

The fourth proportional to 269,843.85, 404,691.90 and 101,351.16 is: 151,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,843.85 : 404,691.90 = 101,351.16 : x
  2. Step 2: Convert to fraction form
    269,843.85/404,691.90 = 101,351.16/x
  3. Step 3: Cross multiply
    269,843.85x = 404,691.90 × 101,351.16
  4. Step 4: Simplify right side
    269,843.85x = 41,015,993,507.60
  5. Step 5: Solve for x
    x = 41,015,993,507.60/269,843.85
  6. Step 6: Final answer
    x = 151,998.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.