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Finding the Fourth Proportional to 199,113.80, 298,826.22 and 74,490.44

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Solution

The fourth proportional to 199,113.80, 298,826.22 and 74,490.44 is: 111,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,113.80 : 298,826.22 = 74,490.44 : x
  2. Step 2: Convert to fraction form
    199,113.80/298,826.22 = 74,490.44/x
  3. Step 3: Cross multiply
    199,113.80x = 298,826.22 × 74,490.44
  4. Step 4: Simplify right side
    199,113.80x = 22,259,696,611.34
  5. Step 5: Solve for x
    x = 22,259,696,611.34/199,113.80
  6. Step 6: Final answer
    x = 111,793.84

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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.