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Finding the Fourth Proportional to 198,950.96, 298,429.56 and 110,764.96

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Solution

The fourth proportional to 198,950.96, 298,429.56 and 110,764.96 is: 166,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,950.96 : 298,429.56 = 110,764.96 : x
  2. Step 2: Convert to fraction form
    198,950.96/298,429.56 = 110,764.96/x
  3. Step 3: Cross multiply
    198,950.96x = 298,429.56 × 110,764.96
  4. Step 4: Simplify right side
    198,950.96x = 33,055,538,276.22
  5. Step 5: Solve for x
    x = 33,055,538,276.22/198,950.96
  6. Step 6: Final answer
    x = 166,149.18

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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.