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Finding the Fourth Proportional to 180,593.28, 270,899.64 and 75,306.24

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Solution

The fourth proportional to 180,593.28, 270,899.64 and 75,306.24 is: 112,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,593.28 : 270,899.64 = 75,306.24 : x
  2. Step 2: Convert to fraction form
    180,593.28/270,899.64 = 75,306.24/x
  3. Step 3: Cross multiply
    180,593.28x = 270,899.64 × 75,306.24
  4. Step 4: Simplify right side
    180,593.28x = 20,400,433,305.75
  5. Step 5: Solve for x
    x = 20,400,433,305.75/180,593.28
  6. Step 6: Final answer
    x = 112,963.41

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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.