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Finding the Fourth Proportional to 271,171.68, 406,731.60 and 165,936.48

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Solution

The fourth proportional to 271,171.68, 406,731.60 and 165,936.48 is: 248,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,171.68 : 406,731.60 = 165,936.48 : x
  2. Step 2: Convert to fraction form
    271,171.68/406,731.60 = 165,936.48/x
  3. Step 3: Cross multiply
    271,171.68x = 406,731.60 × 165,936.48
  4. Step 4: Simplify right side
    271,171.68x = 67,491,610,008.77
  5. Step 5: Solve for x
    x = 67,491,610,008.77/271,171.68
  6. Step 6: Final answer
    x = 248,888.86

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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.