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Finding the Fourth Proportional to 135,709.73, 203,697.79 and 113,363.94

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Solution

The fourth proportional to 135,709.73, 203,697.79 and 113,363.94 is: 170,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,709.73 : 203,697.79 = 113,363.94 : x
  2. Step 2: Convert to fraction form
    135,709.73/203,697.79 = 113,363.94/x
  3. Step 3: Cross multiply
    135,709.73x = 203,697.79 × 113,363.94
  4. Step 4: Simplify right side
    135,709.73x = 23,091,984,524.15
  5. Step 5: Solve for x
    x = 23,091,984,524.15/135,709.73
  6. Step 6: Final answer
    x = 170,157.18

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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.