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Finding the Fourth Proportional to 269,524.80, 404,287.20 and 82,536.30

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Solution

The fourth proportional to 269,524.80, 404,287.20 and 82,536.30 is: 123,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,524.80 : 404,287.20 = 82,536.30 : x
  2. Step 2: Convert to fraction form
    269,524.80/404,287.20 = 82,536.30/x
  3. Step 3: Cross multiply
    269,524.80x = 404,287.20 × 82,536.30
  4. Step 4: Simplify right side
    269,524.80x = 33,368,369,625.36
  5. Step 5: Solve for x
    x = 33,368,369,625.36/269,524.80
  6. Step 6: Final answer
    x = 123,804.45

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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.