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Finding the Fourth Proportional to 120,499.38, 166,321.98 and 75,150.54

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Solution

The fourth proportional to 120,499.38, 166,321.98 and 75,150.54 is: 103,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,499.38 : 166,321.98 = 75,150.54 : x
  2. Step 2: Convert to fraction form
    120,499.38/166,321.98 = 75,150.54/x
  3. Step 3: Cross multiply
    120,499.38x = 166,321.98 × 75,150.54
  4. Step 4: Simplify right side
    120,499.38x = 12,499,186,610.87
  5. Step 5: Solve for x
    x = 12,499,186,610.87/120,499.38
  6. Step 6: Final answer
    x = 103,728.22

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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.