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Finding the Fourth Proportional to 269,821.29, 404,661.40 and 80,230.59

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Solution

The fourth proportional to 269,821.29, 404,661.40 and 80,230.59 is: 120,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,821.29 : 404,661.40 = 80,230.59 : x
  2. Step 2: Convert to fraction form
    269,821.29/404,661.40 = 80,230.59/x
  3. Step 3: Cross multiply
    269,821.29x = 404,661.40 × 80,230.59
  4. Step 4: Simplify right side
    269,821.29x = 32,466,222,872.23
  5. Step 5: Solve for x
    x = 32,466,222,872.23/269,821.29
  6. Step 6: Final answer
    x = 120,324.91

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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.