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Finding the Fourth Proportional to 193,856.80, 290,785.20 and 100,391.20

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Solution

The fourth proportional to 193,856.80, 290,785.20 and 100,391.20 is: 150,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,856.80 : 290,785.20 = 100,391.20 : x
  2. Step 2: Convert to fraction form
    193,856.80/290,785.20 = 100,391.20/x
  3. Step 3: Cross multiply
    193,856.80x = 290,785.20 × 100,391.20
  4. Step 4: Simplify right side
    193,856.80x = 29,192,275,170.24
  5. Step 5: Solve for x
    x = 29,192,275,170.24/193,856.80
  6. Step 6: Final answer
    x = 150,586.80

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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.