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Finding the Fourth Proportional to 257,527.20, 386,290.80 and 80,032.80

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Solution

The fourth proportional to 257,527.20, 386,290.80 and 80,032.80 is: 120,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,527.20 : 386,290.80 = 80,032.80 : x
  2. Step 2: Convert to fraction form
    257,527.20/386,290.80 = 80,032.80/x
  3. Step 3: Cross multiply
    257,527.20x = 386,290.80 × 80,032.80
  4. Step 4: Simplify right side
    257,527.20x = 30,915,934,338.24
  5. Step 5: Solve for x
    x = 30,915,934,338.24/257,527.20
  6. Step 6: Final answer
    x = 120,049.20

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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.