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Finding the Fourth Proportional to 197,165.92, 295,630.43 and 77,079.85

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Solution

The fourth proportional to 197,165.92, 295,630.43 and 77,079.85 is: 115,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,165.92 : 295,630.43 = 77,079.85 : x
  2. Step 2: Convert to fraction form
    197,165.92/295,630.43 = 77,079.85/x
  3. Step 3: Cross multiply
    197,165.92x = 295,630.43 × 77,079.85
  4. Step 4: Simplify right side
    197,165.92x = 22,787,147,336.28
  5. Step 5: Solve for x
    x = 22,787,147,336.28/197,165.92
  6. Step 6: Final answer
    x = 115,573.46

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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.