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Finding the Fourth Proportional to 204,089.96, 281,647.52 and 112,213.13

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Solution

The fourth proportional to 204,089.96, 281,647.52 and 112,213.13 is: 154,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,089.96 : 281,647.52 = 112,213.13 : x
  2. Step 2: Convert to fraction form
    204,089.96/281,647.52 = 112,213.13/x
  3. Step 3: Cross multiply
    204,089.96x = 281,647.52 × 112,213.13
  4. Step 4: Simplify right side
    204,089.96x = 31,604,548,510.75
  5. Step 5: Solve for x
    x = 31,604,548,510.75/204,089.96
  6. Step 6: Final answer
    x = 154,855.97

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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.