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Finding the Fourth Proportional to 120,584.40, 180,941.40 and 50,470.80

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Solution

The fourth proportional to 120,584.40, 180,941.40 and 50,470.80 is: 75,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,584.40 : 180,941.40 = 50,470.80 : x
  2. Step 2: Convert to fraction form
    120,584.40/180,941.40 = 50,470.80/x
  3. Step 3: Cross multiply
    120,584.40x = 180,941.40 × 50,470.80
  4. Step 4: Simplify right side
    120,584.40x = 9,132,257,211.12
  5. Step 5: Solve for x
    x = 9,132,257,211.12/120,584.40
  6. Step 6: Final answer
    x = 75,733.32

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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.