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Finding the Fourth Proportional to 215,105.58, 322,651.08 and 81,981

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Solution

The fourth proportional to 215,105.58, 322,651.08 and 81,981 is: 122,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,105.58 : 322,651.08 = 81,981 : x
  2. Step 2: Convert to fraction form
    215,105.58/322,651.08 = 81,981/x
  3. Step 3: Cross multiply
    215,105.58x = 322,651.08 × 81,981
  4. Step 4: Simplify right side
    215,105.58x = 26,451,258,189.48
  5. Step 5: Solve for x
    x = 26,451,258,189.48/215,105.58
  6. Step 6: Final answer
    x = 122,968.72

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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.