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Finding the Fourth Proportional to 201,164.23, 277,538.87 and 113,937.42

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Solution

The fourth proportional to 201,164.23, 277,538.87 and 113,937.42 is: 157,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,164.23 : 277,538.87 = 113,937.42 : x
  2. Step 2: Convert to fraction form
    201,164.23/277,538.87 = 113,937.42/x
  3. Step 3: Cross multiply
    201,164.23x = 277,538.87 × 113,937.42
  4. Step 4: Simplify right side
    201,164.23x = 31,622,062,797.52
  5. Step 5: Solve for x
    x = 31,622,062,797.52/201,164.23
  6. Step 6: Final answer
    x = 157,195.26

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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.