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Finding the Fourth Proportional to 216,357.57, 298,571.94 and 120,864.24

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Solution

The fourth proportional to 216,357.57, 298,571.94 and 120,864.24 is: 166,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,357.57 : 298,571.94 = 120,864.24 : x
  2. Step 2: Convert to fraction form
    216,357.57/298,571.94 = 120,864.24/x
  3. Step 3: Cross multiply
    216,357.57x = 298,571.94 × 120,864.24
  4. Step 4: Simplify right side
    216,357.57x = 36,086,670,613.43
  5. Step 5: Solve for x
    x = 36,086,670,613.43/216,357.57
  6. Step 6: Final answer
    x = 166,791.81

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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.