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Finding the Fourth Proportional to 278,198.64, 416,993.53 and 143,270.88

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Solution

The fourth proportional to 278,198.64, 416,993.53 and 143,270.88 is: 214,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,198.64 : 416,993.53 = 143,270.88 : x
  2. Step 2: Convert to fraction form
    278,198.64/416,993.53 = 143,270.88/x
  3. Step 3: Cross multiply
    278,198.64x = 416,993.53 × 143,270.88
  4. Step 4: Simplify right side
    278,198.64x = 59,743,029,997.41
  5. Step 5: Solve for x
    x = 59,743,029,997.41/278,198.64
  6. Step 6: Final answer
    x = 214,749.54

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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.