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Finding the Fourth Proportional to 271,960.96, 407,801.36 and 122,072.76

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Solution

The fourth proportional to 271,960.96, 407,801.36 and 122,072.76 is: 183,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,960.96 : 407,801.36 = 122,072.76 : x
  2. Step 2: Convert to fraction form
    271,960.96/407,801.36 = 122,072.76/x
  3. Step 3: Cross multiply
    271,960.96x = 407,801.36 × 122,072.76
  4. Step 4: Simplify right side
    271,960.96x = 49,781,437,546.95
  5. Step 5: Solve for x
    x = 49,781,437,546.95/271,960.96
  6. Step 6: Final answer
    x = 183,046.26

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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.