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Finding the Fourth Proportional to 217,962.80, 300,797.52 and 122,469.20

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Solution

The fourth proportional to 217,962.80, 300,797.52 and 122,469.20 is: 169,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,962.80 : 300,797.52 = 122,469.20 : x
  2. Step 2: Convert to fraction form
    217,962.80/300,797.52 = 122,469.20/x
  3. Step 3: Cross multiply
    217,962.80x = 300,797.52 × 122,469.20
  4. Step 4: Simplify right side
    217,962.80x = 36,838,431,636.38
  5. Step 5: Solve for x
    x = 36,838,431,636.38/217,962.80
  6. Step 6: Final answer
    x = 169,012.47

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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.