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Finding the Fourth Proportional to 275,906.40, 413,156.88 and 182,125.92

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Solution

The fourth proportional to 275,906.40, 413,156.88 and 182,125.92 is: 272,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,906.40 : 413,156.88 = 182,125.92 : x
  2. Step 2: Convert to fraction form
    275,906.40/413,156.88 = 182,125.92/x
  3. Step 3: Cross multiply
    275,906.40x = 413,156.88 × 182,125.92
  4. Step 4: Simplify right side
    275,906.40x = 75,246,576,874.33
  5. Step 5: Solve for x
    x = 75,246,576,874.33/275,906.40
  6. Step 6: Final answer
    x = 272,725.01

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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.