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Finding the Fourth Proportional to 120,219.26, 180,201.71 and 45,306.95

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Solution

The fourth proportional to 120,219.26, 180,201.71 and 45,306.95 is: 67,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,219.26 : 180,201.71 = 45,306.95 : x
  2. Step 2: Convert to fraction form
    120,219.26/180,201.71 = 45,306.95/x
  3. Step 3: Cross multiply
    120,219.26x = 180,201.71 × 45,306.95
  4. Step 4: Simplify right side
    120,219.26x = 8,164,389,077.14
  5. Step 5: Solve for x
    x = 8,164,389,077.14/120,219.26
  6. Step 6: Final answer
    x = 67,912.49

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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.