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Finding the Fourth Proportional to 271,251.38, 406,896.55 and 71,569.44

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Solution

The fourth proportional to 271,251.38, 406,896.55 and 71,569.44 is: 107,359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,251.38 : 406,896.55 = 71,569.44 : x
  2. Step 2: Convert to fraction form
    271,251.38/406,896.55 = 71,569.44/x
  3. Step 3: Cross multiply
    271,251.38x = 406,896.55 × 71,569.44
  4. Step 4: Simplify right side
    271,251.38x = 29,121,358,042.51
  5. Step 5: Solve for x
    x = 29,121,358,042.51/271,251.38
  6. Step 6: Final answer
    x = 107,359.30

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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.