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Finding the Fourth Proportional to 198,933.68, 274,528.32 and 109,509.68

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Solution

The fourth proportional to 198,933.68, 274,528.32 and 109,509.68 is: 151,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,933.68 : 274,528.32 = 109,509.68 : x
  2. Step 2: Convert to fraction form
    198,933.68/274,528.32 = 109,509.68/x
  3. Step 3: Cross multiply
    198,933.68x = 274,528.32 × 109,509.68
  4. Step 4: Simplify right side
    198,933.68x = 30,063,508,474.14
  5. Step 5: Solve for x
    x = 30,063,508,474.14/198,933.68
  6. Step 6: Final answer
    x = 151,123.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.