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Finding the Fourth Proportional to 218,273.20, 327,409.80 and 165,785.20

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Solution

The fourth proportional to 218,273.20, 327,409.80 and 165,785.20 is: 248,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,273.20 : 327,409.80 = 165,785.20 : x
  2. Step 2: Convert to fraction form
    218,273.20/327,409.80 = 165,785.20/x
  3. Step 3: Cross multiply
    218,273.20x = 327,409.80 × 165,785.20
  4. Step 4: Simplify right side
    218,273.20x = 54,279,699,174.96
  5. Step 5: Solve for x
    x = 54,279,699,174.96/218,273.20
  6. Step 6: Final answer
    x = 248,677.80

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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.