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Finding the Fourth Proportional to 204,090.27, 281,647.95 and 112,213.44

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Solution

The fourth proportional to 204,090.27, 281,647.95 and 112,213.44 is: 154,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,090.27 : 281,647.95 = 112,213.44 : x
  2. Step 2: Convert to fraction form
    204,090.27/281,647.95 = 112,213.44/x
  3. Step 3: Cross multiply
    204,090.27x = 281,647.95 × 112,213.44
  4. Step 4: Simplify right side
    204,090.27x = 31,604,684,917.65
  5. Step 5: Solve for x
    x = 31,604,684,917.65/204,090.27
  6. Step 6: Final answer
    x = 154,856.40

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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.