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Finding the Fourth Proportional to 120,993.32, 166,971.84 and 66,546.56

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Solution

The fourth proportional to 120,993.32, 166,971.84 and 66,546.56 is: 91,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993.32 : 166,971.84 = 66,546.56 : x
  2. Step 2: Convert to fraction form
    120,993.32/166,971.84 = 66,546.56/x
  3. Step 3: Cross multiply
    120,993.32x = 166,971.84 × 66,546.56
  4. Step 4: Simplify right side
    120,993.32x = 11,111,401,568.87
  5. Step 5: Solve for x
    x = 11,111,401,568.87/120,993.32
  6. Step 6: Final answer
    x = 91,834.83

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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.