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Finding the Fourth Proportional to 120,919, 181,382.56 and 54,359.34

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Solution

The fourth proportional to 120,919, 181,382.56 and 54,359.34 is: 81,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,919 : 181,382.56 = 54,359.34 : x
  2. Step 2: Convert to fraction form
    120,919/181,382.56 = 54,359.34/x
  3. Step 3: Cross multiply
    120,919x = 181,382.56 × 54,359.34
  4. Step 4: Simplify right side
    120,919x = 9,859,836,249.11
  5. Step 5: Solve for x
    x = 9,859,836,249.11/120,919
  6. Step 6: Final answer
    x = 81,540.84

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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.