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Finding the Fourth Proportional to 120,481.12, 166,264.87 and 66,767

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Solution

The fourth proportional to 120,481.12, 166,264.87 and 66,767 is: 92,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,481.12 : 166,264.87 = 66,767 : x
  2. Step 2: Convert to fraction form
    120,481.12/166,264.87 = 66,767/x
  3. Step 3: Cross multiply
    120,481.12x = 166,264.87 × 66,767
  4. Step 4: Simplify right side
    120,481.12x = 11,101,006,575.29
  5. Step 5: Solve for x
    x = 11,101,006,575.29/120,481.12
  6. Step 6: Final answer
    x = 92,138.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.