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Finding the Fourth Proportional to 271,538.41, 407,310.61 and 82,000.39

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Solution

The fourth proportional to 271,538.41, 407,310.61 and 82,000.39 is: 123,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,538.41 : 407,310.61 = 82,000.39 : x
  2. Step 2: Convert to fraction form
    271,538.41/407,310.61 = 82,000.39/x
  3. Step 3: Cross multiply
    271,538.41x = 407,310.61 × 82,000.39
  4. Step 4: Simplify right side
    271,538.41x = 33,399,628,871.14
  5. Step 5: Solve for x
    x = 33,399,628,871.14/271,538.41
  6. Step 6: Final answer
    x = 123,001.49

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