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Finding the Fourth Proportional to 180,936.69, 271,317.09 and 54,553.50

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Solution

The fourth proportional to 180,936.69, 271,317.09 and 54,553.50 is: 81,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,936.69 : 271,317.09 = 54,553.50 : x
  2. Step 2: Convert to fraction form
    180,936.69/271,317.09 = 54,553.50/x
  3. Step 3: Cross multiply
    180,936.69x = 271,317.09 × 54,553.50
  4. Step 4: Simplify right side
    180,936.69x = 14,801,297,073.89
  5. Step 5: Solve for x
    x = 14,801,297,073.89/180,936.69
  6. Step 6: Final answer
    x = 81,803.74

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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.