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Finding the Fourth Proportional to 201,085.43, 277,498.51 and 109,204.97

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Solution

The fourth proportional to 201,085.43, 277,498.51 and 109,204.97 is: 150,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,085.43 : 277,498.51 = 109,204.97 : x
  2. Step 2: Convert to fraction form
    201,085.43/277,498.51 = 109,204.97/x
  3. Step 3: Cross multiply
    201,085.43x = 277,498.51 × 109,204.97
  4. Step 4: Simplify right side
    201,085.43x = 30,304,214,799.09
  5. Step 5: Solve for x
    x = 30,304,214,799.09/201,085.43
  6. Step 6: Final answer
    x = 150,703.19

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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.