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Finding the Fourth Proportional to 207,398.44, 311,143.02 and 67,171.24

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Solution

The fourth proportional to 207,398.44, 311,143.02 and 67,171.24 is: 100,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398.44 : 311,143.02 = 67,171.24 : x
  2. Step 2: Convert to fraction form
    207,398.44/311,143.02 = 67,171.24/x
  3. Step 3: Cross multiply
    207,398.44x = 311,143.02 × 67,171.24
  4. Step 4: Simplify right side
    207,398.44x = 20,899,862,470.74
  5. Step 5: Solve for x
    x = 20,899,862,470.74/207,398.44
  6. Step 6: Final answer
    x = 100,771.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.