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Finding the Fourth Proportional to 269,682.30, 404,577.45 and 80,142.30

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Solution

The fourth proportional to 269,682.30, 404,577.45 and 80,142.30 is: 120,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,682.30 : 404,577.45 = 80,142.30 : x
  2. Step 2: Convert to fraction form
    269,682.30/404,577.45 = 80,142.30/x
  3. Step 3: Cross multiply
    269,682.30x = 404,577.45 × 80,142.30
  4. Step 4: Simplify right side
    269,682.30x = 32,423,767,371.14
  5. Step 5: Solve for x
    x = 32,423,767,371.14/269,682.30
  6. Step 6: Final answer
    x = 120,229.50

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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.