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Finding the Fourth Proportional to 281,886.52, 422,891.98 and 82,222.53

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Solution

The fourth proportional to 281,886.52, 422,891.98 and 82,222.53 is: 123,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,886.52 : 422,891.98 = 82,222.53 : x
  2. Step 2: Convert to fraction form
    281,886.52/422,891.98 = 82,222.53/x
  3. Step 3: Cross multiply
    281,886.52x = 422,891.98 × 82,222.53
  4. Step 4: Simplify right side
    281,886.52x = 34,771,248,512.31
  5. Step 5: Solve for x
    x = 34,771,248,512.31/281,886.52
  6. Step 6: Final answer
    x = 123,351.94

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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.