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Finding the Fourth Proportional to 271,539.29, 407,311.92 and 82,001.27

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Solution

The fourth proportional to 271,539.29, 407,311.92 and 82,001.27 is: 123,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,539.29 : 407,311.92 = 82,001.27 : x
  2. Step 2: Convert to fraction form
    271,539.29/407,311.92 = 82,001.27/x
  3. Step 3: Cross multiply
    271,539.29x = 407,311.92 × 82,001.27
  4. Step 4: Simplify right side
    271,539.29x = 33,400,094,217.00
  5. Step 5: Solve for x
    x = 33,400,094,217.00/271,539.29
  6. Step 6: Final answer
    x = 123,002.81

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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.