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Finding the Fourth Proportional to 120,891.84, 166,776.96 and 80,566.24

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Solution

The fourth proportional to 120,891.84, 166,776.96 and 80,566.24 is: 111,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,891.84 : 166,776.96 = 80,566.24 : x
  2. Step 2: Convert to fraction form
    120,891.84/166,776.96 = 80,566.24/x
  3. Step 3: Cross multiply
    120,891.84x = 166,776.96 × 80,566.24
  4. Step 4: Simplify right side
    120,891.84x = 13,436,592,585.83
  5. Step 5: Solve for x
    x = 13,436,592,585.83/120,891.84
  6. Step 6: Final answer
    x = 111,145.57

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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.