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Finding the Fourth Proportional to 150,234.44, 207,321.78 and 82,250.60

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Solution

The fourth proportional to 150,234.44, 207,321.78 and 82,250.60 is: 113,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,234.44 : 207,321.78 = 82,250.60 : x
  2. Step 2: Convert to fraction form
    150,234.44/207,321.78 = 82,250.60/x
  3. Step 3: Cross multiply
    150,234.44x = 207,321.78 × 82,250.60
  4. Step 4: Simplify right side
    150,234.44x = 17,052,340,798.07
  5. Step 5: Solve for x
    x = 17,052,340,798.07/150,234.44
  6. Step 6: Final answer
    x = 113,504.87

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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.