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Finding the Fourth Proportional to 257,674.80, 386,704.20 and 132,951.60

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Solution

The fourth proportional to 257,674.80, 386,704.20 and 132,951.60 is: 199,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,674.80 : 386,704.20 = 132,951.60 : x
  2. Step 2: Convert to fraction form
    257,674.80/386,704.20 = 132,951.60/x
  3. Step 3: Cross multiply
    257,674.80x = 386,704.20 × 132,951.60
  4. Step 4: Simplify right side
    257,674.80x = 51,412,942,116.72
  5. Step 5: Solve for x
    x = 51,412,942,116.72/257,674.80
  6. Step 6: Final answer
    x = 199,526.47

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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.