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Finding the Fourth Proportional to 207,940.70, 311,908.16 and 50,167.82

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Solution

The fourth proportional to 207,940.70, 311,908.16 and 50,167.82 is: 75,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,940.70 : 311,908.16 = 50,167.82 : x
  2. Step 2: Convert to fraction form
    207,940.70/311,908.16 = 50,167.82/x
  3. Step 3: Cross multiply
    207,940.70x = 311,908.16 × 50,167.82
  4. Step 4: Simplify right side
    207,940.70x = 15,647,752,427.41
  5. Step 5: Solve for x
    x = 15,647,752,427.41/207,940.70
  6. Step 6: Final answer
    x = 75,251.03

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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.