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Finding the Fourth Proportional to 204,224.94, 281,808.78 and 113,566.26

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Solution

The fourth proportional to 204,224.94, 281,808.78 and 113,566.26 is: 156,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,224.94 : 281,808.78 = 113,566.26 : x
  2. Step 2: Convert to fraction form
    204,224.94/281,808.78 = 113,566.26/x
  3. Step 3: Cross multiply
    204,224.94x = 281,808.78 × 113,566.26
  4. Step 4: Simplify right side
    204,224.94x = 32,003,969,179.76
  5. Step 5: Solve for x
    x = 32,003,969,179.76/204,224.94
  6. Step 6: Final answer
    x = 156,709.41

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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.