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Finding the Fourth Proportional to 135,938.34, 203,905.37 and 33,356.76

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Solution

The fourth proportional to 135,938.34, 203,905.37 and 33,356.76 is: 50,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,938.34 : 203,905.37 = 33,356.76 : x
  2. Step 2: Convert to fraction form
    135,938.34/203,905.37 = 33,356.76/x
  3. Step 3: Cross multiply
    135,938.34x = 203,905.37 × 33,356.76
  4. Step 4: Simplify right side
    135,938.34x = 6,801,622,323.02
  5. Step 5: Solve for x
    x = 6,801,622,323.02/135,938.34
  6. Step 6: Final answer
    x = 50,034.62

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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.