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Finding the Fourth Proportional to 200,794.56, 301,191.36 and 110,832.96

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Solution

The fourth proportional to 200,794.56, 301,191.36 and 110,832.96 is: 166,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,794.56 : 301,191.36 = 110,832.96 : x
  2. Step 2: Convert to fraction form
    200,794.56/301,191.36 = 110,832.96/x
  3. Step 3: Cross multiply
    200,794.56x = 301,191.36 × 110,832.96
  4. Step 4: Simplify right side
    200,794.56x = 33,381,929,955.23
  5. Step 5: Solve for x
    x = 33,381,929,955.23/200,794.56
  6. Step 6: Final answer
    x = 166,249.18

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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.