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Finding the Fourth Proportional to 218,303.52, 327,121.44 and 146,961.92

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Solution

The fourth proportional to 218,303.52, 327,121.44 and 146,961.92 is: 220,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,303.52 : 327,121.44 = 146,961.92 : x
  2. Step 2: Convert to fraction form
    218,303.52/327,121.44 = 146,961.92/x
  3. Step 3: Cross multiply
    218,303.52x = 327,121.44 × 146,961.92
  4. Step 4: Simplify right side
    218,303.52x = 48,074,394,895.56
  5. Step 5: Solve for x
    x = 48,074,394,895.56/218,303.52
  6. Step 6: Final answer
    x = 220,218.14

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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.