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Finding the Fourth Proportional to 281,891.82, 422,899.94 and 82,227.84

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Solution

The fourth proportional to 281,891.82, 422,899.94 and 82,227.84 is: 123,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,891.82 : 422,899.94 = 82,227.84 : x
  2. Step 2: Convert to fraction form
    281,891.82/422,899.94 = 82,227.84/x
  3. Step 3: Cross multiply
    281,891.82x = 422,899.94 × 82,227.84
  4. Step 4: Simplify right side
    281,891.82x = 34,774,148,602.33
  5. Step 5: Solve for x
    x = 34,774,148,602.33/281,891.82
  6. Step 6: Final answer
    x = 123,359.91

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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.