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Finding the Fourth Proportional to 120,874.44, 181,371.06 and 54,361.56

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Solution

The fourth proportional to 120,874.44, 181,371.06 and 54,361.56 is: 81,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,874.44 : 181,371.06 = 54,361.56 : x
  2. Step 2: Convert to fraction form
    120,874.44/181,371.06 = 54,361.56/x
  3. Step 3: Cross multiply
    120,874.44x = 181,371.06 × 54,361.56
  4. Step 4: Simplify right side
    120,874.44x = 9,859,613,760.45
  5. Step 5: Solve for x
    x = 9,859,613,760.45/120,874.44
  6. Step 6: Final answer
    x = 81,569.05

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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.