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Finding the Fourth Proportional to 271,055.30, 406,552.18 and 71,391.31

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Solution

The fourth proportional to 271,055.30, 406,552.18 and 71,391.31 is: 107,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,055.30 : 406,552.18 = 71,391.31 : x
  2. Step 2: Convert to fraction form
    271,055.30/406,552.18 = 71,391.31/x
  3. Step 3: Cross multiply
    271,055.30x = 406,552.18 × 71,391.31
  4. Step 4: Simplify right side
    271,055.30x = 29,024,292,713.56
  5. Step 5: Solve for x
    x = 29,024,292,713.56/271,055.30
  6. Step 6: Final answer
    x = 107,078.86

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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.