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Finding the Fourth Proportional to 281,888.32, 422,894.68 and 82,224.33

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Solution

The fourth proportional to 281,888.32, 422,894.68 and 82,224.33 is: 123,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,888.32 : 422,894.68 = 82,224.33 : x
  2. Step 2: Convert to fraction form
    281,888.32/422,894.68 = 82,224.33/x
  3. Step 3: Cross multiply
    281,888.32x = 422,894.68 × 82,224.33
  4. Step 4: Simplify right side
    281,888.32x = 34,772,231,723.56
  5. Step 5: Solve for x
    x = 34,772,231,723.56/281,888.32
  6. Step 6: Final answer
    x = 123,354.64

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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.