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Finding the Fourth Proportional to 200,108.36, 300,266.01 and 87,867.38

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Solution

The fourth proportional to 200,108.36, 300,266.01 and 87,867.38 is: 131,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,108.36 : 300,266.01 = 87,867.38 : x
  2. Step 2: Convert to fraction form
    200,108.36/300,266.01 = 87,867.38/x
  3. Step 3: Cross multiply
    200,108.36x = 300,266.01 × 87,867.38
  4. Step 4: Simplify right side
    200,108.36x = 26,383,586,100.42
  5. Step 5: Solve for x
    x = 26,383,586,100.42/200,108.36
  6. Step 6: Final answer
    x = 131,846.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.