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Finding the Fourth Proportional to 200,893.92, 277,215.27 and 119,208.09

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Solution

The fourth proportional to 200,893.92, 277,215.27 and 119,208.09 is: 164,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,893.92 : 277,215.27 = 119,208.09 : x
  2. Step 2: Convert to fraction form
    200,893.92/277,215.27 = 119,208.09/x
  3. Step 3: Cross multiply
    200,893.92x = 277,215.27 × 119,208.09
  4. Step 4: Simplify right side
    200,893.92x = 33,046,302,855.53
  5. Step 5: Solve for x
    x = 33,046,302,855.53/200,893.92
  6. Step 6: Final answer
    x = 164,496.29

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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.