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Finding the Fourth Proportional to 512,801.38, 769,202.66 and 133,721.78

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Solution

The fourth proportional to 512,801.38, 769,202.66 and 133,721.78 is: 200,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,801.38 : 769,202.66 = 133,721.78 : x
  2. Step 2: Convert to fraction form
    512,801.38/769,202.66 = 133,721.78/x
  3. Step 3: Cross multiply
    512,801.38x = 769,202.66 × 133,721.78
  4. Step 4: Simplify right side
    512,801.38x = 102,859,148,875.94
  5. Step 5: Solve for x
    x = 102,859,148,875.94/512,801.38
  6. Step 6: Final answer
    x = 200,582.82

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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.