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Finding the Fourth Proportional to 80,118.50, 120,177.60 and 30,209.80

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Solution

The fourth proportional to 80,118.50, 120,177.60 and 30,209.80 is: 45,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,118.50 : 120,177.60 = 30,209.80 : x
  2. Step 2: Convert to fraction form
    80,118.50/120,177.60 = 30,209.80/x
  3. Step 3: Cross multiply
    80,118.50x = 120,177.60 × 30,209.80
  4. Step 4: Simplify right side
    80,118.50x = 3,630,541,260.48
  5. Step 5: Solve for x
    x = 3,630,541,260.48/80,118.50
  6. Step 6: Final answer
    x = 45,314.64

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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.