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Finding the Fourth Proportional to 327,166.50, 490,749.90 and 102,544.44

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Solution

The fourth proportional to 327,166.50, 490,749.90 and 102,544.44 is: 153,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,166.50 : 490,749.90 = 102,544.44 : x
  2. Step 2: Convert to fraction form
    327,166.50/490,749.90 = 102,544.44/x
  3. Step 3: Cross multiply
    327,166.50x = 490,749.90 × 102,544.44
  4. Step 4: Simplify right side
    327,166.50x = 50,323,673,675.56
  5. Step 5: Solve for x
    x = 50,323,673,675.56/327,166.50
  6. Step 6: Final answer
    x = 153,816.71

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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.