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Finding the Fourth Proportional to 269,854.74, 404,711.44 and 80,264.12

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Solution

The fourth proportional to 269,854.74, 404,711.44 and 80,264.12 is: 120,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,854.74 : 404,711.44 = 80,264.12 : x
  2. Step 2: Convert to fraction form
    269,854.74/404,711.44 = 80,264.12/x
  3. Step 3: Cross multiply
    269,854.74x = 404,711.44 × 80,264.12
  4. Step 4: Simplify right side
    269,854.74x = 32,483,805,361.32
  5. Step 5: Solve for x
    x = 32,483,805,361.32/269,854.74
  6. Step 6: Final answer
    x = 120,375.15

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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.