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Finding the Fourth Proportional to 271,844.92, 407,767.38 and 84,872.44

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Solution

The fourth proportional to 271,844.92, 407,767.38 and 84,872.44 is: 127,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,844.92 : 407,767.38 = 84,872.44 : x
  2. Step 2: Convert to fraction form
    271,844.92/407,767.38 = 84,872.44/x
  3. Step 3: Cross multiply
    271,844.92x = 407,767.38 × 84,872.44
  4. Step 4: Simplify right side
    271,844.92x = 34,608,212,493.01
  5. Step 5: Solve for x
    x = 34,608,212,493.01/271,844.92
  6. Step 6: Final answer
    x = 127,308.66

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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.