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Finding the Fourth Proportional to 194,138.39, 267,866.66 and 109,224.47

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Solution

The fourth proportional to 194,138.39, 267,866.66 and 109,224.47 is: 150,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,138.39 : 267,866.66 = 109,224.47 : x
  2. Step 2: Convert to fraction form
    194,138.39/267,866.66 = 109,224.47/x
  3. Step 3: Cross multiply
    194,138.39x = 267,866.66 × 109,224.47
  4. Step 4: Simplify right side
    194,138.39x = 29,257,593,423.05
  5. Step 5: Solve for x
    x = 29,257,593,423.05/194,138.39
  6. Step 6: Final answer
    x = 150,704.83

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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.