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Finding the Fourth Proportional to 197,766.54, 296,403.08 and 96,481.08

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Solution

The fourth proportional to 197,766.54, 296,403.08 and 96,481.08 is: 144,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,766.54 : 296,403.08 = 96,481.08 : x
  2. Step 2: Convert to fraction form
    197,766.54/296,403.08 = 96,481.08/x
  3. Step 3: Cross multiply
    197,766.54x = 296,403.08 × 96,481.08
  4. Step 4: Simplify right side
    197,766.54x = 28,597,288,791.32
  5. Step 5: Solve for x
    x = 28,597,288,791.32/197,766.54
  6. Step 6: Final answer
    x = 144,601.25

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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.