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Finding the Fourth Proportional to 200,892.92, 277,213.89 and 119,207.09

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Solution

The fourth proportional to 200,892.92, 277,213.89 and 119,207.09 is: 164,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,892.92 : 277,213.89 = 119,207.09 : x
  2. Step 2: Convert to fraction form
    200,892.92/277,213.89 = 119,207.09/x
  3. Step 3: Cross multiply
    200,892.92x = 277,213.89 × 119,207.09
  4. Step 4: Simplify right side
    200,892.92x = 33,045,861,134.48
  5. Step 5: Solve for x
    x = 33,045,861,134.48/200,892.92
  6. Step 6: Final answer
    x = 164,494.91

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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.