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Finding the Fourth Proportional to 200,919.88, 277,269.78 and 110,276.44

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Solution

The fourth proportional to 200,919.88, 277,269.78 and 110,276.44 is: 152,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,919.88 : 277,269.78 = 110,276.44 : x
  2. Step 2: Convert to fraction form
    200,919.88/277,269.78 = 110,276.44/x
  3. Step 3: Cross multiply
    200,919.88x = 277,269.78 × 110,276.44
  4. Step 4: Simplify right side
    200,919.88x = 30,576,324,257.98
  5. Step 5: Solve for x
    x = 30,576,324,257.98/200,919.88
  6. Step 6: Final answer
    x = 152,181.68

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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.