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Finding the Fourth Proportional to 281,531.08, 422,324.10 and 81,853

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Solution

The fourth proportional to 281,531.08, 422,324.10 and 81,853 is: 122,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,531.08 : 422,324.10 = 81,853 : x
  2. Step 2: Convert to fraction form
    281,531.08/422,324.10 = 81,853/x
  3. Step 3: Cross multiply
    281,531.08x = 422,324.10 × 81,853
  4. Step 4: Simplify right side
    281,531.08x = 34,568,494,557.30
  5. Step 5: Solve for x
    x = 34,568,494,557.30/281,531.08
  6. Step 6: Final answer
    x = 122,787.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.