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Finding the Fourth Proportional to 271,912.44, 407,927.03 and 114,049.92

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Solution

The fourth proportional to 271,912.44, 407,927.03 and 114,049.92 is: 171,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,912.44 : 407,927.03 = 114,049.92 : x
  2. Step 2: Convert to fraction form
    271,912.44/407,927.03 = 114,049.92/x
  3. Step 3: Cross multiply
    271,912.44x = 407,927.03 × 114,049.92
  4. Step 4: Simplify right side
    271,912.44x = 46,524,044,567.09
  5. Step 5: Solve for x
    x = 46,524,044,567.09/271,912.44
  6. Step 6: Final answer
    x = 171,099.36

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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.