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Finding the Fourth Proportional to 195,245.44, 269,436.90 and 109,203.38

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Solution

The fourth proportional to 195,245.44, 269,436.90 and 109,203.38 is: 150,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,245.44 : 269,436.90 = 109,203.38 : x
  2. Step 2: Convert to fraction form
    195,245.44/269,436.90 = 109,203.38/x
  3. Step 3: Cross multiply
    195,245.44x = 269,436.90 × 109,203.38
  4. Step 4: Simplify right side
    195,245.44x = 29,423,420,176.72
  5. Step 5: Solve for x
    x = 29,423,420,176.72/195,245.44
  6. Step 6: Final answer
    x = 150,699.65

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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.