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Finding the Fourth Proportional to 281,622.88, 422,439.72 and 92,083.96

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Solution

The fourth proportional to 281,622.88, 422,439.72 and 92,083.96 is: 138,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,622.88 : 422,439.72 = 92,083.96 : x
  2. Step 2: Convert to fraction form
    281,622.88/422,439.72 = 92,083.96/x
  3. Step 3: Cross multiply
    281,622.88x = 422,439.72 × 92,083.96
  4. Step 4: Simplify right side
    281,622.88x = 38,899,922,278.89
  5. Step 5: Solve for x
    x = 38,899,922,278.89/281,622.88
  6. Step 6: Final answer
    x = 138,127.71

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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.