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Finding the Fourth Proportional to 202,791.56, 304,220.14 and 84,474.86

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Solution

The fourth proportional to 202,791.56, 304,220.14 and 84,474.86 is: 126,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,791.56 : 304,220.14 = 84,474.86 : x
  2. Step 2: Convert to fraction form
    202,791.56/304,220.14 = 84,474.86/x
  3. Step 3: Cross multiply
    202,791.56x = 304,220.14 × 84,474.86
  4. Step 4: Simplify right side
    202,791.56x = 25,698,952,003.39
  5. Step 5: Solve for x
    x = 25,698,952,003.39/202,791.56
  6. Step 6: Final answer
    x = 126,725.95

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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.