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Finding the Fourth Proportional to 80,512.60, 120,768.90 and 77,099.80

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Solution

The fourth proportional to 80,512.60, 120,768.90 and 77,099.80 is: 115,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,512.60 : 120,768.90 = 77,099.80 : x
  2. Step 2: Convert to fraction form
    80,512.60/120,768.90 = 77,099.80/x
  3. Step 3: Cross multiply
    80,512.60x = 120,768.90 × 77,099.80
  4. Step 4: Simplify right side
    80,512.60x = 9,311,258,036.22
  5. Step 5: Solve for x
    x = 9,311,258,036.22/80,512.60
  6. Step 6: Final answer
    x = 115,649.70

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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.