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Finding the Fourth Proportional to 271,062.92, 406,614.32 and 71,381.90

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Solution

The fourth proportional to 271,062.92, 406,614.32 and 71,381.90 is: 107,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,062.92 : 406,614.32 = 71,381.90 : x
  2. Step 2: Convert to fraction form
    271,062.92/406,614.32 = 71,381.90/x
  3. Step 3: Cross multiply
    271,062.92x = 406,614.32 × 71,381.90
  4. Step 4: Simplify right side
    271,062.92x = 29,024,902,728.81
  5. Step 5: Solve for x
    x = 29,024,902,728.81/271,062.92
  6. Step 6: Final answer
    x = 107,078.10

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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.