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Finding the Fourth Proportional to 299,912.51, 413,879.22 and 163,947.02

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Solution

The fourth proportional to 299,912.51, 413,879.22 and 163,947.02 is: 226,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,912.51 : 413,879.22 = 163,947.02 : x
  2. Step 2: Convert to fraction form
    299,912.51/413,879.22 = 163,947.02/x
  3. Step 3: Cross multiply
    299,912.51x = 413,879.22 × 163,947.02
  4. Step 4: Simplify right side
    299,912.51x = 67,854,265,793.62
  5. Step 5: Solve for x
    x = 67,854,265,793.62/299,912.51
  6. Step 6: Final answer
    x = 226,246.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.