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Finding the Fourth Proportional to 232,410.48, 320,736.96 and 182,022

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Solution

The fourth proportional to 232,410.48, 320,736.96 and 182,022 is: 251,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,410.48 : 320,736.96 = 182,022 : x
  2. Step 2: Convert to fraction form
    232,410.48/320,736.96 = 182,022/x
  3. Step 3: Cross multiply
    232,410.48x = 320,736.96 × 182,022
  4. Step 4: Simplify right side
    232,410.48x = 58,381,182,933.12
  5. Step 5: Solve for x
    x = 58,381,182,933.12/232,410.48
  6. Step 6: Final answer
    x = 251,198.58

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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.