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Finding the Fourth Proportional to 376,183.53, 564,273.41 and 133,204.86

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Solution

The fourth proportional to 376,183.53, 564,273.41 and 133,204.86 is: 199,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,183.53 : 564,273.41 = 133,204.86 : x
  2. Step 2: Convert to fraction form
    376,183.53/564,273.41 = 133,204.86/x
  3. Step 3: Cross multiply
    376,183.53x = 564,273.41 × 133,204.86
  4. Step 4: Simplify right side
    376,183.53x = 75,163,959,914.75
  5. Step 5: Solve for x
    x = 75,163,959,914.75/376,183.53
  6. Step 6: Final answer
    x = 199,806.62

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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.