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Finding the Fourth Proportional to 201,189.36, 277,665.84 and 115,180.32

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Solution

The fourth proportional to 201,189.36, 277,665.84 and 115,180.32 is: 158,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,189.36 : 277,665.84 = 115,180.32 : x
  2. Step 2: Convert to fraction form
    201,189.36/277,665.84 = 115,180.32/x
  3. Step 3: Cross multiply
    201,189.36x = 277,665.84 × 115,180.32
  4. Step 4: Simplify right side
    201,189.36x = 31,981,640,304.27
  5. Step 5: Solve for x
    x = 31,981,640,304.27/201,189.36
  6. Step 6: Final answer
    x = 158,962.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.