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Finding the Fourth Proportional to 198,070.72, 296,958.32 and 119,166.46

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Solution

The fourth proportional to 198,070.72, 296,958.32 and 119,166.46 is: 178,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,070.72 : 296,958.32 = 119,166.46 : x
  2. Step 2: Convert to fraction form
    198,070.72/296,958.32 = 119,166.46/x
  3. Step 3: Cross multiply
    198,070.72x = 296,958.32 × 119,166.46
  4. Step 4: Simplify right side
    198,070.72x = 35,387,471,761.95
  5. Step 5: Solve for x
    x = 35,387,471,761.95/198,070.72
  6. Step 6: Final answer
    x = 178,660.79

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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.