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Finding the Fourth Proportional to 269,561.10, 404,341.65 and 82,548.30

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Solution

The fourth proportional to 269,561.10, 404,341.65 and 82,548.30 is: 123,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,561.10 : 404,341.65 = 82,548.30 : x
  2. Step 2: Convert to fraction form
    269,561.10/404,341.65 = 82,548.30/x
  3. Step 3: Cross multiply
    269,561.10x = 404,341.65 × 82,548.30
  4. Step 4: Simplify right side
    269,561.10x = 33,377,715,826.70
  5. Step 5: Solve for x
    x = 33,377,715,826.70/269,561.10
  6. Step 6: Final answer
    x = 123,822.45

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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.