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Finding the Fourth Proportional to 201,431.56, 277,982.34 and 110,791.34

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Solution

The fourth proportional to 201,431.56, 277,982.34 and 110,791.34 is: 152,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,431.56 : 277,982.34 = 110,791.34 : x
  2. Step 2: Convert to fraction form
    201,431.56/277,982.34 = 110,791.34/x
  3. Step 3: Cross multiply
    201,431.56x = 277,982.34 × 110,791.34
  4. Step 4: Simplify right side
    201,431.56x = 30,798,035,944.94
  5. Step 5: Solve for x
    x = 30,798,035,944.94/201,431.56
  6. Step 6: Final answer
    x = 152,895.78

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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.