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Finding the Fourth Proportional to 271,215.43, 406,850.48 and 71,549.62

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Solution

The fourth proportional to 271,215.43, 406,850.48 and 71,549.62 is: 107,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,215.43 : 406,850.48 = 71,549.62 : x
  2. Step 2: Convert to fraction form
    271,215.43/406,850.48 = 71,549.62/x
  3. Step 3: Cross multiply
    271,215.43x = 406,850.48 × 71,549.62
  4. Step 4: Simplify right side
    271,215.43x = 29,109,997,240.82
  5. Step 5: Solve for x
    x = 29,109,997,240.82/271,215.43
  6. Step 6: Final answer
    x = 107,331.64

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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.