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Finding the Fourth Proportional to 197,806.77, 296,500.97 and 64,651.28

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Solution

The fourth proportional to 197,806.77, 296,500.97 and 64,651.28 is: 96,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,806.77 : 296,500.97 = 64,651.28 : x
  2. Step 2: Convert to fraction form
    197,806.77/296,500.97 = 64,651.28/x
  3. Step 3: Cross multiply
    197,806.77x = 296,500.97 × 64,651.28
  4. Step 4: Simplify right side
    197,806.77x = 19,169,165,910.86
  5. Step 5: Solve for x
    x = 19,169,165,910.86/197,806.77
  6. Step 6: Final answer
    x = 96,908.54

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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.