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Finding the Fourth Proportional to 198,348.44, 297,014.70 and 109,503.32

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Solution

The fourth proportional to 198,348.44, 297,014.70 and 109,503.32 is: 163,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,348.44 : 297,014.70 = 109,503.32 : x
  2. Step 2: Convert to fraction form
    198,348.44/297,014.70 = 109,503.32/x
  3. Step 3: Cross multiply
    198,348.44x = 297,014.70 × 109,503.32
  4. Step 4: Simplify right side
    198,348.44x = 32,524,095,738.80
  5. Step 5: Solve for x
    x = 32,524,095,738.80/198,348.44
  6. Step 6: Final answer
    x = 163,974.55

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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.