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Finding the Fourth Proportional to 299,924.26, 413,894.46 and 163,958.20

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Solution

The fourth proportional to 299,924.26, 413,894.46 and 163,958.20 is: 226,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,924.26 : 413,894.46 = 163,958.20 : x
  2. Step 2: Convert to fraction form
    299,924.26/413,894.46 = 163,958.20/x
  3. Step 3: Cross multiply
    299,924.26x = 413,894.46 × 163,958.20
  4. Step 4: Simplify right side
    299,924.26x = 67,861,390,651.57
  5. Step 5: Solve for x
    x = 67,861,390,651.57/299,924.26
  6. Step 6: Final answer
    x = 226,261.76

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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.