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Finding the Fourth Proportional to 257,149.56, 354,864.06 and 143,974.20

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Solution

The fourth proportional to 257,149.56, 354,864.06 and 143,974.20 is: 198,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,149.56 : 354,864.06 = 143,974.20 : x
  2. Step 2: Convert to fraction form
    257,149.56/354,864.06 = 143,974.20/x
  3. Step 3: Cross multiply
    257,149.56x = 354,864.06 × 143,974.20
  4. Step 4: Simplify right side
    257,149.56x = 51,091,269,147.25
  5. Step 5: Solve for x
    x = 51,091,269,147.25/257,149.56
  6. Step 6: Final answer
    x = 198,683.09

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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.