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Finding the Fourth Proportional to 207,091.96, 285,785.42 and 117,667.96

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Solution

The fourth proportional to 207,091.96, 285,785.42 and 117,667.96 is: 162,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,091.96 : 285,785.42 = 117,667.96 : x
  2. Step 2: Convert to fraction form
    207,091.96/285,785.42 = 117,667.96/x
  3. Step 3: Cross multiply
    207,091.96x = 285,785.42 × 117,667.96
  4. Step 4: Simplify right side
    207,091.96x = 33,627,787,369.14
  5. Step 5: Solve for x
    x = 33,627,787,369.14/207,091.96
  6. Step 6: Final answer
    x = 162,380.94

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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.