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Finding the Fourth Proportional to 207,932.50, 311,843.38 and 58,163.50

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Solution

The fourth proportional to 207,932.50, 311,843.38 and 58,163.50 is: 87,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,932.50 : 311,843.38 = 58,163.50 : x
  2. Step 2: Convert to fraction form
    207,932.50/311,843.38 = 58,163.50/x
  3. Step 3: Cross multiply
    207,932.50x = 311,843.38 × 58,163.50
  4. Step 4: Simplify right side
    207,932.50x = 18,137,902,432.63
  5. Step 5: Solve for x
    x = 18,137,902,432.63/207,932.50
  6. Step 6: Final answer
    x = 87,229.76

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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.