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Finding the Fourth Proportional to 271,942.70, 407,773.98 and 122,054.49

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Solution

The fourth proportional to 271,942.70, 407,773.98 and 122,054.49 is: 183,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,942.70 : 407,773.98 = 122,054.49 : x
  2. Step 2: Convert to fraction form
    271,942.70/407,773.98 = 122,054.49/x
  3. Step 3: Cross multiply
    271,942.70x = 407,773.98 × 122,054.49
  4. Step 4: Simplify right side
    271,942.70x = 49,770,645,164.17
  5. Step 5: Solve for x
    x = 49,770,645,164.17/271,942.70
  6. Step 6: Final answer
    x = 183,018.87

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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.