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Finding the Fourth Proportional to 194,137.89, 267,865.97 and 109,223.97

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Solution

The fourth proportional to 194,137.89, 267,865.97 and 109,223.97 is: 150,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,137.89 : 267,865.97 = 109,223.97 : x
  2. Step 2: Convert to fraction form
    194,137.89/267,865.97 = 109,223.97/x
  3. Step 3: Cross multiply
    194,137.89x = 267,865.97 × 109,223.97
  4. Step 4: Simplify right side
    194,137.89x = 29,257,384,125.18
  5. Step 5: Solve for x
    x = 29,257,384,125.18/194,137.89
  6. Step 6: Final answer
    x = 150,704.14

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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.