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Finding the Fourth Proportional to 299,879.87, 413,833.87 and 163,914.71

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Solution

The fourth proportional to 299,879.87, 413,833.87 and 163,914.71 is: 226,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,879.87 : 413,833.87 = 163,914.71 : x
  2. Step 2: Convert to fraction form
    299,879.87/413,833.87 = 163,914.71/x
  3. Step 3: Cross multiply
    299,879.87x = 413,833.87 × 163,914.71
  4. Step 4: Simplify right side
    299,879.87x = 67,833,458,789.23
  5. Step 5: Solve for x
    x = 67,833,458,789.23/299,879.87
  6. Step 6: Final answer
    x = 226,202.11

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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.