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Finding the Fourth Proportional to 80,146.20, 120,120.84 and 45,012

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Solution

The fourth proportional to 80,146.20, 120,120.84 and 45,012 is: 67,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,146.20 : 120,120.84 = 45,012 : x
  2. Step 2: Convert to fraction form
    80,146.20/120,120.84 = 45,012/x
  3. Step 3: Cross multiply
    80,146.20x = 120,120.84 × 45,012
  4. Step 4: Simplify right side
    80,146.20x = 5,406,879,250.08
  5. Step 5: Solve for x
    x = 5,406,879,250.08/80,146.20
  6. Step 6: Final answer
    x = 67,462.70

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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.