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Finding the Fourth Proportional to 198,144.60, 296,709.44 and 109,299.35

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Solution

The fourth proportional to 198,144.60, 296,709.44 and 109,299.35 is: 163,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,144.60 : 296,709.44 = 109,299.35 : x
  2. Step 2: Convert to fraction form
    198,144.60/296,709.44 = 109,299.35/x
  3. Step 3: Cross multiply
    198,144.60x = 296,709.44 × 109,299.35
  4. Step 4: Simplify right side
    198,144.60x = 32,430,146,900.82
  5. Step 5: Solve for x
    x = 32,430,146,900.82/198,144.60
  6. Step 6: Final answer
    x = 163,669.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.