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Finding the Fourth Proportional to 269,728.10, 404,592.15 and 82,715.30

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Solution

The fourth proportional to 269,728.10, 404,592.15 and 82,715.30 is: 124,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,728.10 : 404,592.15 = 82,715.30 : x
  2. Step 2: Convert to fraction form
    269,728.10/404,592.15 = 82,715.30/x
  3. Step 3: Cross multiply
    269,728.10x = 404,592.15 × 82,715.30
  4. Step 4: Simplify right side
    269,728.10x = 33,465,961,064.90
  5. Step 5: Solve for x
    x = 33,465,961,064.90/269,728.10
  6. Step 6: Final answer
    x = 124,072.95

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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.