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Finding the Fourth Proportional to 257,227.56, 354,855.84 and 166,613.76

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Solution

The fourth proportional to 257,227.56, 354,855.84 and 166,613.76 is: 229,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,227.56 : 354,855.84 = 166,613.76 : x
  2. Step 2: Convert to fraction form
    257,227.56/354,855.84 = 166,613.76/x
  3. Step 3: Cross multiply
    257,227.56x = 354,855.84 × 166,613.76
  4. Step 4: Simplify right side
    257,227.56x = 59,123,865,760.36
  5. Step 5: Solve for x
    x = 59,123,865,760.36/257,227.56
  6. Step 6: Final answer
    x = 229,850.43

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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.