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Finding the Fourth Proportional to 198,664.74, 297,994.59 and 48,906.90

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Solution

The fourth proportional to 198,664.74, 297,994.59 and 48,906.90 is: 73,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,664.74 : 297,994.59 = 48,906.90 : x
  2. Step 2: Convert to fraction form
    198,664.74/297,994.59 = 48,906.90/x
  3. Step 3: Cross multiply
    198,664.74x = 297,994.59 × 48,906.90
  4. Step 4: Simplify right side
    198,664.74x = 14,573,991,613.67
  5. Step 5: Solve for x
    x = 14,573,991,613.67/198,664.74
  6. Step 6: Final answer
    x = 73,359.73

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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.