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Finding the Fourth Proportional to 194,296, 268,129.28 and 109,414.48

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Solution

The fourth proportional to 194,296, 268,129.28 and 109,414.48 is: 150,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,296 : 268,129.28 = 109,414.48 : x
  2. Step 2: Convert to fraction form
    194,296/268,129.28 = 109,414.48/x
  3. Step 3: Cross multiply
    194,296x = 268,129.28 × 109,414.48
  4. Step 4: Simplify right side
    194,296x = 29,337,225,743.97
  5. Step 5: Solve for x
    x = 29,337,225,743.97/194,296
  6. Step 6: Final answer
    x = 150,992.43

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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.