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Finding the Fourth Proportional to 269,537.10, 404,305.65 and 82,524.30

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Solution

The fourth proportional to 269,537.10, 404,305.65 and 82,524.30 is: 123,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,537.10 : 404,305.65 = 82,524.30 : x
  2. Step 2: Convert to fraction form
    269,537.10/404,305.65 = 82,524.30/x
  3. Step 3: Cross multiply
    269,537.10x = 404,305.65 × 82,524.30
  4. Step 4: Simplify right side
    269,537.10x = 33,365,040,752.30
  5. Step 5: Solve for x
    x = 33,365,040,752.30/269,537.10
  6. Step 6: Final answer
    x = 123,786.45

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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.