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Finding the Fourth Proportional to 269,593.40, 404,447.51 and 80,054.31

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Solution

The fourth proportional to 269,593.40, 404,447.51 and 80,054.31 is: 120,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,593.40 : 404,447.51 = 80,054.31 : x
  2. Step 2: Convert to fraction form
    269,593.40/404,447.51 = 80,054.31/x
  3. Step 3: Cross multiply
    269,593.40x = 404,447.51 × 80,054.31
  4. Step 4: Simplify right side
    269,593.40x = 32,377,766,344.27
  5. Step 5: Solve for x
    x = 32,377,766,344.27/269,593.40
  6. Step 6: Final answer
    x = 120,098.51

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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.