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Finding the Fourth Proportional to 256,797.12, 354,396.42 and 143,620.68

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Solution

The fourth proportional to 256,797.12, 354,396.42 and 143,620.68 is: 198,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,797.12 : 354,396.42 = 143,620.68 : x
  2. Step 2: Convert to fraction form
    256,797.12/354,396.42 = 143,620.68/x
  3. Step 3: Cross multiply
    256,797.12x = 354,396.42 × 143,620.68
  4. Step 4: Simplify right side
    256,797.12x = 50,898,654,829.97
  5. Step 5: Solve for x
    x = 50,898,654,829.97/256,797.12
  6. Step 6: Final answer
    x = 198,205.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.