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Finding the Fourth Proportional to 262,691.96, 394,076.88 and 96,467

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Solution

The fourth proportional to 262,691.96, 394,076.88 and 96,467 is: 144,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,691.96 : 394,076.88 = 96,467 : x
  2. Step 2: Convert to fraction form
    262,691.96/394,076.88 = 96,467/x
  3. Step 3: Cross multiply
    262,691.96x = 394,076.88 × 96,467
  4. Step 4: Simplify right side
    262,691.96x = 38,015,414,382.96
  5. Step 5: Solve for x
    x = 38,015,414,382.96/262,691.96
  6. Step 6: Final answer
    x = 144,714.80

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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.