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Finding the Fourth Proportional to 198,380.44, 297,579.66 and 56,235.88

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Solution

The fourth proportional to 198,380.44, 297,579.66 and 56,235.88 is: 84,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,380.44 : 297,579.66 = 56,235.88 : x
  2. Step 2: Convert to fraction form
    198,380.44/297,579.66 = 56,235.88/x
  3. Step 3: Cross multiply
    198,380.44x = 297,579.66 × 56,235.88
  4. Step 4: Simplify right side
    198,380.44x = 16,734,654,050.20
  5. Step 5: Solve for x
    x = 16,734,654,050.20/198,380.44
  6. Step 6: Final answer
    x = 84,356.37

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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.