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Finding the Fourth Proportional to 193,824.20, 290,745.90 and 100,512.20

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Solution

The fourth proportional to 193,824.20, 290,745.90 and 100,512.20 is: 150,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,824.20 : 290,745.90 = 100,512.20 : x
  2. Step 2: Convert to fraction form
    193,824.20/290,745.90 = 100,512.20/x
  3. Step 3: Cross multiply
    193,824.20x = 290,745.90 × 100,512.20
  4. Step 4: Simplify right side
    193,824.20x = 29,223,510,049.98
  5. Step 5: Solve for x
    x = 29,223,510,049.98/193,824.20
  6. Step 6: Final answer
    x = 150,773.28

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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.