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Finding the Fourth Proportional to 218,223.27, 327,036.31 and 164,871.41

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Solution

The fourth proportional to 218,223.27, 327,036.31 and 164,871.41 is: 247,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,223.27 : 327,036.31 = 164,871.41 : x
  2. Step 2: Convert to fraction form
    218,223.27/327,036.31 = 164,871.41/x
  3. Step 3: Cross multiply
    218,223.27x = 327,036.31 × 164,871.41
  4. Step 4: Simplify right side
    218,223.27x = 53,918,935,503.54
  5. Step 5: Solve for x
    x = 53,918,935,503.54/218,223.27
  6. Step 6: Final answer
    x = 247,081.51

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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.