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Finding the Fourth Proportional to 180,469.20, 270,651.24 and 54,104.40

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Solution

The fourth proportional to 180,469.20, 270,651.24 and 54,104.40 is: 81,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469.20 : 270,651.24 = 54,104.40 : x
  2. Step 2: Convert to fraction form
    180,469.20/270,651.24 = 54,104.40/x
  3. Step 3: Cross multiply
    180,469.20x = 270,651.24 × 54,104.40
  4. Step 4: Simplify right side
    180,469.20x = 14,643,422,949.46
  5. Step 5: Solve for x
    x = 14,643,422,949.46/180,469.20
  6. Step 6: Final answer
    x = 81,140.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.