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Finding the Fourth Proportional to 135,684.73, 203,536.85 and 35,843.95

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Solution

The fourth proportional to 135,684.73, 203,536.85 and 35,843.95 is: 53,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,684.73 : 203,536.85 = 35,843.95 : x
  2. Step 2: Convert to fraction form
    135,684.73/203,536.85 = 35,843.95/x
  3. Step 3: Cross multiply
    135,684.73x = 203,536.85 × 35,843.95
  4. Step 4: Simplify right side
    135,684.73x = 7,295,564,674.56
  5. Step 5: Solve for x
    x = 7,295,564,674.56/135,684.73
  6. Step 6: Final answer
    x = 53,768.50

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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.