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Finding the Fourth Proportional to 135,504.63, 203,035.20 and 82,034.54

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Solution

The fourth proportional to 135,504.63, 203,035.20 and 82,034.54 is: 122,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,504.63 : 203,035.20 = 82,034.54 : x
  2. Step 2: Convert to fraction form
    135,504.63/203,035.20 = 82,034.54/x
  3. Step 3: Cross multiply
    135,504.63x = 203,035.20 × 82,034.54
  4. Step 4: Simplify right side
    135,504.63x = 16,655,898,220.63
  5. Step 5: Solve for x
    x = 16,655,898,220.63/135,504.63
  6. Step 6: Final answer
    x = 122,917.56

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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.