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Finding the Fourth Proportional to 195,099.87, 269,232.15 and 109,059

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Solution

The fourth proportional to 195,099.87, 269,232.15 and 109,059 is: 150,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,099.87 : 269,232.15 = 109,059 : x
  2. Step 2: Convert to fraction form
    195,099.87/269,232.15 = 109,059/x
  3. Step 3: Cross multiply
    195,099.87x = 269,232.15 × 109,059
  4. Step 4: Simplify right side
    195,099.87x = 29,362,189,046.85
  5. Step 5: Solve for x
    x = 29,362,189,046.85/195,099.87
  6. Step 6: Final answer
    x = 150,498.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.