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Finding the Fourth Proportional to 271,546.56, 406,904.04 and 138,227.04

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Solution

The fourth proportional to 271,546.56, 406,904.04 and 138,227.04 is: 207,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,546.56 : 406,904.04 = 138,227.04 : x
  2. Step 2: Convert to fraction form
    271,546.56/406,904.04 = 138,227.04/x
  3. Step 3: Cross multiply
    271,546.56x = 406,904.04 × 138,227.04
  4. Step 4: Simplify right side
    271,546.56x = 56,245,141,013.24
  5. Step 5: Solve for x
    x = 56,245,141,013.24/271,546.56
  6. Step 6: Final answer
    x = 207,128.90

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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.