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Finding the Fourth Proportional to 281,886.32, 422,891.67 and 82,222.33

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Solution

The fourth proportional to 281,886.32, 422,891.67 and 82,222.33 is: 123,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,886.32 : 422,891.67 = 82,222.33 : x
  2. Step 2: Convert to fraction form
    281,886.32/422,891.67 = 82,222.33/x
  3. Step 3: Cross multiply
    281,886.32x = 422,891.67 × 82,222.33
  4. Step 4: Simplify right side
    281,886.32x = 34,771,138,444.99
  5. Step 5: Solve for x
    x = 34,771,138,444.99/281,886.32
  6. Step 6: Final answer
    x = 123,351.63

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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.