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Finding the Fourth Proportional to 131,183.87, 196,789.86 and 36,414.45

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Solution

The fourth proportional to 131,183.87, 196,789.86 and 36,414.45 is: 54,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,183.87 : 196,789.86 = 36,414.45 : x
  2. Step 2: Convert to fraction form
    131,183.87/196,789.86 = 36,414.45/x
  3. Step 3: Cross multiply
    131,183.87x = 196,789.86 × 36,414.45
  4. Step 4: Simplify right side
    131,183.87x = 7,165,994,517.48
  5. Step 5: Solve for x
    x = 7,165,994,517.48/131,183.87
  6. Step 6: Final answer
    x = 54,625.58

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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.