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Finding the Fourth Proportional to 204,187.89, 281,737.99 and 119,288.55

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Solution

The fourth proportional to 204,187.89, 281,737.99 and 119,288.55 is: 164,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,187.89 : 281,737.99 = 119,288.55 : x
  2. Step 2: Convert to fraction form
    204,187.89/281,737.99 = 119,288.55/x
  3. Step 3: Cross multiply
    204,187.89x = 281,737.99 × 119,288.55
  4. Step 4: Simplify right side
    204,187.89x = 33,608,114,600.10
  5. Step 5: Solve for x
    x = 33,608,114,600.10/204,187.89
  6. Step 6: Final answer
    x = 164,594.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.