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Finding the Fourth Proportional to 299,922.41, 413,893.76 and 163,958.00

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Solution

The fourth proportional to 299,922.41, 413,893.76 and 163,958.00 is: 226,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,922.41 : 413,893.76 = 163,958.00 : x
  2. Step 2: Convert to fraction form
    299,922.41/413,893.76 = 163,958.00/x
  3. Step 3: Cross multiply
    299,922.41x = 413,893.76 × 163,958.00
  4. Step 4: Simplify right side
    299,922.41x = 67,861,190,212.82
  5. Step 5: Solve for x
    x = 67,861,190,212.82/299,922.41
  6. Step 6: Final answer
    x = 226,262.48

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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.