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Finding the Fourth Proportional to 271,176.74, 406,769.22 and 102,651.82

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Solution

The fourth proportional to 271,176.74, 406,769.22 and 102,651.82 is: 153,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,176.74 : 406,769.22 = 102,651.82 : x
  2. Step 2: Convert to fraction form
    271,176.74/406,769.22 = 102,651.82/x
  3. Step 3: Cross multiply
    271,176.74x = 406,769.22 × 102,651.82
  4. Step 4: Simplify right side
    271,176.74x = 41,755,601,735.43
  5. Step 5: Solve for x
    x = 41,755,601,735.43/271,176.74
  6. Step 6: Final answer
    x = 153,979.29

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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.