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Finding the Fourth Proportional to 271,540.89, 407,179.80 and 159,257.88

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Solution

The fourth proportional to 271,540.89, 407,179.80 and 159,257.88 is: 238,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,540.89 : 407,179.80 = 159,257.88 : x
  2. Step 2: Convert to fraction form
    271,540.89/407,179.80 = 159,257.88/x
  3. Step 3: Cross multiply
    271,540.89x = 407,179.80 × 159,257.88
  4. Step 4: Simplify right side
    271,540.89x = 64,846,591,726.82
  5. Step 5: Solve for x
    x = 64,846,591,726.82/271,540.89
  6. Step 6: Final answer
    x = 238,809.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.