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Finding the Fourth Proportional to 120,626.27, 180,998.36 and 85,314.50

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Solution

The fourth proportional to 120,626.27, 180,998.36 and 85,314.50 is: 128,013.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,626.27 : 180,998.36 = 85,314.50 : x
  2. Step 2: Convert to fraction form
    120,626.27/180,998.36 = 85,314.50/x
  3. Step 3: Cross multiply
    120,626.27x = 180,998.36 × 85,314.50
  4. Step 4: Simplify right side
    120,626.27x = 15,441,783,252.66
  5. Step 5: Solve for x
    x = 15,441,783,252.66/120,626.27
  6. Step 6: Final answer
    x = 128,013.44

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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.