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Finding the Fourth Proportional to 202,339.22, 303,541.80 and 75,989.30

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Solution

The fourth proportional to 202,339.22, 303,541.80 and 75,989.30 is: 113,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,339.22 : 303,541.80 = 75,989.30 : x
  2. Step 2: Convert to fraction form
    202,339.22/303,541.80 = 75,989.30/x
  3. Step 3: Cross multiply
    202,339.22x = 303,541.80 × 75,989.30
  4. Step 4: Simplify right side
    202,339.22x = 23,065,928,902.74
  5. Step 5: Solve for x
    x = 23,065,928,902.74/202,339.22
  6. Step 6: Final answer
    x = 113,996.33

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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.