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Finding the Fourth Proportional to 202,622.56, 303,930.48 and 77,990.56

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Solution

The fourth proportional to 202,622.56, 303,930.48 and 77,990.56 is: 116,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,622.56 : 303,930.48 = 77,990.56 : x
  2. Step 2: Convert to fraction form
    202,622.56/303,930.48 = 77,990.56/x
  3. Step 3: Cross multiply
    202,622.56x = 303,930.48 × 77,990.56
  4. Step 4: Simplify right side
    202,622.56x = 23,703,708,336.27
  5. Step 5: Solve for x
    x = 23,703,708,336.27/202,622.56
  6. Step 6: Final answer
    x = 116,984.55

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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.