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Finding the Fourth Proportional to 271,191.79, 406,791.92 and 102,666.88

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Solution

The fourth proportional to 271,191.79, 406,791.92 and 102,666.88 is: 154,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,191.79 : 406,791.92 = 102,666.88 : x
  2. Step 2: Convert to fraction form
    271,191.79/406,791.92 = 102,666.88/x
  3. Step 3: Cross multiply
    271,191.79x = 406,791.92 × 102,666.88
  4. Step 4: Simplify right side
    271,191.79x = 41,764,056,722.28
  5. Step 5: Solve for x
    x = 41,764,056,722.28/271,191.79
  6. Step 6: Final answer
    x = 154,001.92

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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.