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Finding the Fourth Proportional to 271,758.92, 407,194.49 and 165,175.47

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Solution

The fourth proportional to 271,758.92, 407,194.49 and 165,175.47 is: 247,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,758.92 : 407,194.49 = 165,175.47 : x
  2. Step 2: Convert to fraction form
    271,758.92/407,194.49 = 165,175.47/x
  3. Step 3: Cross multiply
    271,758.92x = 407,194.49 × 165,175.47
  4. Step 4: Simplify right side
    271,758.92x = 67,258,541,680.10
  5. Step 5: Solve for x
    x = 67,258,541,680.10/271,758.92
  6. Step 6: Final answer
    x = 247,493.41

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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.