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Finding the Fourth Proportional to 204,405.75, 281,838.62 and 139,906.07

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Solution

The fourth proportional to 204,405.75, 281,838.62 and 139,906.07 is: 192,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,405.75 : 281,838.62 = 139,906.07 : x
  2. Step 2: Convert to fraction form
    204,405.75/281,838.62 = 139,906.07/x
  3. Step 3: Cross multiply
    204,405.75x = 281,838.62 × 139,906.07
  4. Step 4: Simplify right side
    204,405.75x = 39,430,931,589.70
  5. Step 5: Solve for x
    x = 39,430,931,589.70/204,405.75
  6. Step 6: Final answer
    x = 192,905.20

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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.