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Finding the Fourth Proportional to 202,233.20, 303,364.20 and 61,991.60

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Solution

The fourth proportional to 202,233.20, 303,364.20 and 61,991.60 is: 92,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,233.20 : 303,364.20 = 61,991.60 : x
  2. Step 2: Convert to fraction form
    202,233.20/303,364.20 = 61,991.60/x
  3. Step 3: Cross multiply
    202,233.20x = 303,364.20 × 61,991.60
  4. Step 4: Simplify right side
    202,233.20x = 18,806,032,140.72
  5. Step 5: Solve for x
    x = 18,806,032,140.72/202,233.20
  6. Step 6: Final answer
    x = 92,991.81

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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.