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Finding the Fourth Proportional to 216,022.93, 298,105.44 and 120,527.57

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Solution

The fourth proportional to 216,022.93, 298,105.44 and 120,527.57 is: 166,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,022.93 : 298,105.44 = 120,527.57 : x
  2. Step 2: Convert to fraction form
    216,022.93/298,105.44 = 120,527.57/x
  3. Step 3: Cross multiply
    216,022.93x = 298,105.44 × 120,527.57
  4. Step 4: Simplify right side
    216,022.93x = 35,929,924,286.98
  5. Step 5: Solve for x
    x = 35,929,924,286.98/216,022.93
  6. Step 6: Final answer
    x = 166,324.59

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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.