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Finding the Fourth Proportional to 327,077.18, 490,806.12 and 137,523.81

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Solution

The fourth proportional to 327,077.18, 490,806.12 and 137,523.81 is: 206,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,077.18 : 490,806.12 = 137,523.81 : x
  2. Step 2: Convert to fraction form
    327,077.18/490,806.12 = 137,523.81/x
  3. Step 3: Cross multiply
    327,077.18x = 490,806.12 × 137,523.81
  4. Step 4: Simplify right side
    327,077.18x = 67,497,529,949.95
  5. Step 5: Solve for x
    x = 67,497,529,949.95/327,077.18
  6. Step 6: Final answer
    x = 206,365.76

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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.