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Finding the Fourth Proportional to 214,832.84, 322,249.40 and 81,682.32

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Solution

The fourth proportional to 214,832.84, 322,249.40 and 81,682.32 is: 122,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,832.84 : 322,249.40 = 81,682.32 : x
  2. Step 2: Convert to fraction form
    214,832.84/322,249.40 = 81,682.32/x
  3. Step 3: Cross multiply
    214,832.84x = 322,249.40 × 81,682.32
  4. Step 4: Simplify right side
    214,832.84x = 26,322,078,610.61
  5. Step 5: Solve for x
    x = 26,322,078,610.61/214,832.84
  6. Step 6: Final answer
    x = 122,523.53

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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.