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Finding the Fourth Proportional to 198,034.44, 297,069.15 and 55,880.97

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Solution

The fourth proportional to 198,034.44, 297,069.15 and 55,880.97 is: 83,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,034.44 : 297,069.15 = 55,880.97 : x
  2. Step 2: Convert to fraction form
    198,034.44/297,069.15 = 55,880.97/x
  3. Step 3: Cross multiply
    198,034.44x = 297,069.15 × 55,880.97
  4. Step 4: Simplify right side
    198,034.44x = 16,600,512,259.08
  5. Step 5: Solve for x
    x = 16,600,512,259.08/198,034.44
  6. Step 6: Final answer
    x = 83,826.39

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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.