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Finding the Fourth Proportional to 120,433.98, 166,198.90 and 65,986.38

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Solution

The fourth proportional to 120,433.98, 166,198.90 and 65,986.38 is: 91,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433.98 : 166,198.90 = 65,986.38 : x
  2. Step 2: Convert to fraction form
    120,433.98/166,198.90 = 65,986.38/x
  3. Step 3: Cross multiply
    120,433.98x = 166,198.90 × 65,986.38
  4. Step 4: Simplify right side
    120,433.98x = 10,966,863,770.98
  5. Step 5: Solve for x
    x = 10,966,863,770.98/120,433.98
  6. Step 6: Final answer
    x = 91,061.21

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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.