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Finding the Fourth Proportional to 80,176.28, 120,263.16 and 27,586.22

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Solution

The fourth proportional to 80,176.28, 120,263.16 and 27,586.22 is: 41,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,176.28 : 120,263.16 = 27,586.22 : x
  2. Step 2: Convert to fraction form
    80,176.28/120,263.16 = 27,586.22/x
  3. Step 3: Cross multiply
    80,176.28x = 120,263.16 × 27,586.22
  4. Step 4: Simplify right side
    80,176.28x = 3,317,606,290.31
  5. Step 5: Solve for x
    x = 3,317,606,290.31/80,176.28
  6. Step 6: Final answer
    x = 41,378.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.