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Finding the Fourth Proportional to 226,180.80, 339,271.20 and 206,827.20

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Solution

The fourth proportional to 226,180.80, 339,271.20 and 206,827.20 is: 310,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,180.80 : 339,271.20 = 206,827.20 : x
  2. Step 2: Convert to fraction form
    226,180.80/339,271.20 = 206,827.20/x
  3. Step 3: Cross multiply
    226,180.80x = 339,271.20 × 206,827.20
  4. Step 4: Simplify right side
    226,180.80x = 70,170,512,336.64
  5. Step 5: Solve for x
    x = 70,170,512,336.64/226,180.80
  6. Step 6: Final answer
    x = 310,240.80

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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.