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Finding the Fourth Proportional to 197,856.88, 297,081.76 and 171,284.80

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Solution

The fourth proportional to 197,856.88, 297,081.76 and 171,284.80 is: 257,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,856.88 : 297,081.76 = 171,284.80 : x
  2. Step 2: Convert to fraction form
    197,856.88/297,081.76 = 171,284.80/x
  3. Step 3: Cross multiply
    197,856.88x = 297,081.76 × 171,284.80
  4. Step 4: Simplify right side
    197,856.88x = 50,885,589,845.25
  5. Step 5: Solve for x
    x = 50,885,589,845.25/197,856.88
  6. Step 6: Final answer
    x = 257,183.83

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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.