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Finding the Fourth Proportional to 197,167.92, 295,633.42 and 77,081.85

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Solution

The fourth proportional to 197,167.92, 295,633.42 and 77,081.85 is: 115,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,167.92 : 295,633.42 = 77,081.85 : x
  2. Step 2: Convert to fraction form
    197,167.92/295,633.42 = 77,081.85/x
  3. Step 3: Cross multiply
    197,167.92x = 295,633.42 × 77,081.85
  4. Step 4: Simplify right side
    197,167.92x = 22,787,970,935.43
  5. Step 5: Solve for x
    x = 22,787,970,935.43/197,167.92
  6. Step 6: Final answer
    x = 115,576.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.