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Finding the Fourth Proportional to 271,132.80, 406,664.46 and 71,468.88

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Solution

The fourth proportional to 271,132.80, 406,664.46 and 71,468.88 is: 107,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,132.80 : 406,664.46 = 71,468.88 : x
  2. Step 2: Convert to fraction form
    271,132.80/406,664.46 = 71,468.88/x
  3. Step 3: Cross multiply
    271,132.80x = 406,664.46 × 71,468.88
  4. Step 4: Simplify right side
    271,132.80x = 29,063,853,492.00
  5. Step 5: Solve for x
    x = 29,063,853,492.00/271,132.80
  6. Step 6: Final answer
    x = 107,194.16

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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.