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Finding the Fourth Proportional to 120,616.41, 166,507.79 and 80,397.21

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Solution

The fourth proportional to 120,616.41, 166,507.79 and 80,397.21 is: 110,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616.41 : 166,507.79 = 80,397.21 : x
  2. Step 2: Convert to fraction form
    120,616.41/166,507.79 = 80,397.21/x
  3. Step 3: Cross multiply
    120,616.41x = 166,507.79 × 80,397.21
  4. Step 4: Simplify right side
    120,616.41x = 13,386,761,357.28
  5. Step 5: Solve for x
    x = 13,386,761,357.28/120,616.41
  6. Step 6: Final answer
    x = 110,986.24

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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.