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Finding the Fourth Proportional to 327,163.64, 490,744.70 and 102,541.20

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Solution

The fourth proportional to 327,163.64, 490,744.70 and 102,541.20 is: 153,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,163.64 : 490,744.70 = 102,541.20 : x
  2. Step 2: Convert to fraction form
    327,163.64/490,744.70 = 102,541.20/x
  3. Step 3: Cross multiply
    327,163.64x = 490,744.70 × 102,541.20
  4. Step 4: Simplify right side
    327,163.64x = 50,321,550,431.64
  5. Step 5: Solve for x
    x = 50,321,550,431.64/327,163.64
  6. Step 6: Final answer
    x = 153,811.56

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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.