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Finding the Fourth Proportional to 271,538.54, 407,310.80 and 82,000.52

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Solution

The fourth proportional to 271,538.54, 407,310.80 and 82,000.52 is: 123,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,538.54 : 407,310.80 = 82,000.52 : x
  2. Step 2: Convert to fraction form
    271,538.54/407,310.80 = 82,000.52/x
  3. Step 3: Cross multiply
    271,538.54x = 407,310.80 × 82,000.52
  4. Step 4: Simplify right side
    271,538.54x = 33,399,696,482.47
  5. Step 5: Solve for x
    x = 33,399,696,482.47/271,538.54
  6. Step 6: Final answer
    x = 123,001.68

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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.