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Finding the Fourth Proportional to 204,187.64, 281,737.64 and 119,288.30

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Solution

The fourth proportional to 204,187.64, 281,737.64 and 119,288.30 is: 164,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,187.64 : 281,737.64 = 119,288.30 : x
  2. Step 2: Convert to fraction form
    204,187.64/281,737.64 = 119,288.30/x
  3. Step 3: Cross multiply
    204,187.64x = 281,737.64 × 119,288.30
  4. Step 4: Simplify right side
    204,187.64x = 33,608,003,011.14
  5. Step 5: Solve for x
    x = 33,608,003,011.14/204,187.64
  6. Step 6: Final answer
    x = 164,593.72

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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.