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Finding the Fourth Proportional to 120,433.10, 166,190.62 and 65,974.48

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Solution

The fourth proportional to 120,433.10, 166,190.62 and 65,974.48 is: 91,040.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433.10 : 166,190.62 = 65,974.48 : x
  2. Step 2: Convert to fraction form
    120,433.10/166,190.62 = 65,974.48/x
  3. Step 3: Cross multiply
    120,433.10x = 166,190.62 × 65,974.48
  4. Step 4: Simplify right side
    120,433.10x = 10,964,339,735.38
  5. Step 5: Solve for x
    x = 10,964,339,735.38/120,433.10
  6. Step 6: Final answer
    x = 91,040.92

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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.