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Finding the Fourth Proportional to 215,471.49, 323,207.24 and 110,233.05

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Solution

The fourth proportional to 215,471.49, 323,207.24 and 110,233.05 is: 165,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,471.49 : 323,207.24 = 110,233.05 : x
  2. Step 2: Convert to fraction form
    215,471.49/323,207.24 = 110,233.05/x
  3. Step 3: Cross multiply
    215,471.49x = 323,207.24 × 110,233.05
  4. Step 4: Simplify right side
    215,471.49x = 35,628,119,296.12
  5. Step 5: Solve for x
    x = 35,628,119,296.12/215,471.49
  6. Step 6: Final answer
    x = 165,349.58

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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.