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Finding the Fourth Proportional to 197,698.72, 296,669.85 and 77,734.54

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Solution

The fourth proportional to 197,698.72, 296,669.85 and 77,734.54 is: 116,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,698.72 : 296,669.85 = 77,734.54 : x
  2. Step 2: Convert to fraction form
    197,698.72/296,669.85 = 77,734.54/x
  3. Step 3: Cross multiply
    197,698.72x = 296,669.85 × 77,734.54
  4. Step 4: Simplify right side
    197,698.72x = 23,061,494,321.62
  5. Step 5: Solve for x
    x = 23,061,494,321.62/197,698.72
  6. Step 6: Final answer
    x = 116,649.69

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