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Finding the Fourth Proportional to 376,181.87, 519,129.56 and 206,418.83

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Solution

The fourth proportional to 376,181.87, 519,129.56 and 206,418.83 is: 284,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,181.87 : 519,129.56 = 206,418.83 : x
  2. Step 2: Convert to fraction form
    376,181.87/519,129.56 = 206,418.83/x
  3. Step 3: Cross multiply
    376,181.87x = 519,129.56 × 206,418.83
  4. Step 4: Simplify right side
    376,181.87x = 107,158,115,361.52
  5. Step 5: Solve for x
    x = 107,158,115,361.52/376,181.87
  6. Step 6: Final answer
    x = 284,857.20

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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.