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Finding the Fourth Proportional to 201,667.97, 278,270.95 and 116,768.63

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Solution

The fourth proportional to 201,667.97, 278,270.95 and 116,768.63 is: 161,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,667.97 : 278,270.95 = 116,768.63 : x
  2. Step 2: Convert to fraction form
    201,667.97/278,270.95 = 116,768.63/x
  3. Step 3: Cross multiply
    201,667.97x = 278,270.95 × 116,768.63
  4. Step 4: Simplify right side
    201,667.97x = 32,493,317,600.30
  5. Step 5: Solve for x
    x = 32,493,317,600.30/201,667.97
  6. Step 6: Final answer
    x = 161,122.85

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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.