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Finding the Fourth Proportional to 120,304.25, 166,002.49 and 66,589.14

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Solution

The fourth proportional to 120,304.25, 166,002.49 and 66,589.14 is: 91,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,304.25 : 166,002.49 = 66,589.14 : x
  2. Step 2: Convert to fraction form
    120,304.25/166,002.49 = 66,589.14/x
  3. Step 3: Cross multiply
    120,304.25x = 166,002.49 × 66,589.14
  4. Step 4: Simplify right side
    120,304.25x = 11,053,963,046.96
  5. Step 5: Solve for x
    x = 11,053,963,046.96/120,304.25
  6. Step 6: Final answer
    x = 91,883.40

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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.