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Finding the Fourth Proportional to 376,142.20, 519,076.86 and 206,377.54

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Solution

The fourth proportional to 376,142.20, 519,076.86 and 206,377.54 is: 284,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,142.20 : 519,076.86 = 206,377.54 : x
  2. Step 2: Convert to fraction form
    376,142.20/519,076.86 = 206,377.54/x
  3. Step 3: Cross multiply
    376,142.20x = 519,076.86 × 206,377.54
  4. Step 4: Simplify right side
    376,142.20x = 107,125,805,437.72
  5. Step 5: Solve for x
    x = 107,125,805,437.72/376,142.20
  6. Step 6: Final answer
    x = 284,801.35

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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.