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Finding the Fourth Proportional to 218,963.94, 327,806.19 and 197,952.54

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Solution

The fourth proportional to 218,963.94, 327,806.19 and 197,952.54 is: 296,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,963.94 : 327,806.19 = 197,952.54 : x
  2. Step 2: Convert to fraction form
    218,963.94/327,806.19 = 197,952.54/x
  3. Step 3: Cross multiply
    218,963.94x = 327,806.19 × 197,952.54
  4. Step 4: Simplify right side
    218,963.94x = 64,890,067,938.22
  5. Step 5: Solve for x
    x = 64,890,067,938.22/218,963.94
  6. Step 6: Final answer
    x = 296,350.48

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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.