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Finding the Fourth Proportional to 195,286.57, 269,482.72 and 109,230.64

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Solution

The fourth proportional to 195,286.57, 269,482.72 and 109,230.64 is: 150,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,286.57 : 269,482.72 = 109,230.64 : x
  2. Step 2: Convert to fraction form
    195,286.57/269,482.72 = 109,230.64/x
  3. Step 3: Cross multiply
    195,286.57x = 269,482.72 × 109,230.64
  4. Step 4: Simplify right side
    195,286.57x = 29,435,769,974.54
  5. Step 5: Solve for x
    x = 29,435,769,974.54/195,286.57
  6. Step 6: Final answer
    x = 150,731.15

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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.