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Finding the Fourth Proportional to 299,845.80, 413,786.24 and 163,879.74

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Solution

The fourth proportional to 299,845.80, 413,786.24 and 163,879.74 is: 226,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,845.80 : 413,786.24 = 163,879.74 : x
  2. Step 2: Convert to fraction form
    299,845.80/413,786.24 = 163,879.74/x
  3. Step 3: Cross multiply
    299,845.80x = 413,786.24 × 163,879.74
  4. Step 4: Simplify right side
    299,845.80x = 67,811,180,607.38
  5. Step 5: Solve for x
    x = 67,811,180,607.38/299,845.80
  6. Step 6: Final answer
    x = 226,153.51

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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.