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Finding the Fourth Proportional to 137,627.80, 206,441.70 and 120,131.80

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Solution

The fourth proportional to 137,627.80, 206,441.70 and 120,131.80 is: 180,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.80 : 206,441.70 = 120,131.80 : x
  2. Step 2: Convert to fraction form
    137,627.80/206,441.70 = 120,131.80/x
  3. Step 3: Cross multiply
    137,627.80x = 206,441.70 × 120,131.80
  4. Step 4: Simplify right side
    137,627.80x = 24,800,213,016.06
  5. Step 5: Solve for x
    x = 24,800,213,016.06/137,627.80
  6. Step 6: Final answer
    x = 180,197.70

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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.