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Finding the Fourth Proportional to 147,992, 204,233.82 and 80,924

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Solution

The fourth proportional to 147,992, 204,233.82 and 80,924 is: 111,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,992 : 204,233.82 = 80,924 : x
  2. Step 2: Convert to fraction form
    147,992/204,233.82 = 80,924/x
  3. Step 3: Cross multiply
    147,992x = 204,233.82 × 80,924
  4. Step 4: Simplify right side
    147,992x = 16,527,417,649.68
  5. Step 5: Solve for x
    x = 16,527,417,649.68/147,992
  6. Step 6: Final answer
    x = 111,677.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.