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Finding the Fourth Proportional to 198,633.38, 274,117.03 and 107,989.11

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Solution

The fourth proportional to 198,633.38, 274,117.03 and 107,989.11 is: 149,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,633.38 : 274,117.03 = 107,989.11 : x
  2. Step 2: Convert to fraction form
    198,633.38/274,117.03 = 107,989.11/x
  3. Step 3: Cross multiply
    198,633.38x = 274,117.03 × 107,989.11
  4. Step 4: Simplify right side
    198,633.38x = 29,601,653,835.57
  5. Step 5: Solve for x
    x = 29,601,653,835.57/198,633.38
  6. Step 6: Final answer
    x = 149,026.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.