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Finding the Fourth Proportional to 275,892.44, 413,846.46 and 76,212.86

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Solution

The fourth proportional to 275,892.44, 413,846.46 and 76,212.86 is: 114,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,892.44 : 413,846.46 = 76,212.86 : x
  2. Step 2: Convert to fraction form
    275,892.44/413,846.46 = 76,212.86/x
  3. Step 3: Cross multiply
    275,892.44x = 413,846.46 × 76,212.86
  4. Step 4: Simplify right side
    275,892.44x = 31,540,420,248.24
  5. Step 5: Solve for x
    x = 31,540,420,248.24/275,892.44
  6. Step 6: Final answer
    x = 114,321.44

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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.