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Finding the Fourth Proportional to 206,201.31, 283,872.83 and 184,943.67

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Solution

The fourth proportional to 206,201.31, 283,872.83 and 184,943.67 is: 254,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,201.31 : 283,872.83 = 184,943.67 : x
  2. Step 2: Convert to fraction form
    206,201.31/283,872.83 = 184,943.67/x
  3. Step 3: Cross multiply
    206,201.31x = 283,872.83 × 184,943.67
  4. Step 4: Simplify right side
    206,201.31x = 52,500,482,993.49
  5. Step 5: Solve for x
    x = 52,500,482,993.49/206,201.31
  6. Step 6: Final answer
    x = 254,607.90

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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.