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Finding the Fourth Proportional to 274,150.98, 411,232.11 and 84,611.47

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Solution

The fourth proportional to 274,150.98, 411,232.11 and 84,611.47 is: 126,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,150.98 : 411,232.11 = 84,611.47 : x
  2. Step 2: Convert to fraction form
    274,150.98/411,232.11 = 84,611.47/x
  3. Step 3: Cross multiply
    274,150.98x = 411,232.11 × 84,611.47
  4. Step 4: Simplify right side
    274,150.98x = 34,794,953,338.30
  5. Step 5: Solve for x
    x = 34,794,953,338.30/274,150.98
  6. Step 6: Final answer
    x = 126,918.95

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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.