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Finding the Fourth Proportional to 120,268.84, 180,306.04 and 50,200.60

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Solution

The fourth proportional to 120,268.84, 180,306.04 and 50,200.60 is: 75,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,268.84 : 180,306.04 = 50,200.60 : x
  2. Step 2: Convert to fraction form
    120,268.84/180,306.04 = 50,200.60/x
  3. Step 3: Cross multiply
    120,268.84x = 180,306.04 × 50,200.60
  4. Step 4: Simplify right side
    120,268.84x = 9,051,471,391.62
  5. Step 5: Solve for x
    x = 9,051,471,391.62/120,268.84
  6. Step 6: Final answer
    x = 75,260.32

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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.