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Finding the Fourth Proportional to 135,713.35, 203,471.61 and 91,229.77

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Solution

The fourth proportional to 135,713.35, 203,471.61 and 91,229.77 is: 136,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,713.35 : 203,471.61 = 91,229.77 : x
  2. Step 2: Convert to fraction form
    135,713.35/203,471.61 = 91,229.77/x
  3. Step 3: Cross multiply
    135,713.35x = 203,471.61 × 91,229.77
  4. Step 4: Simplify right side
    135,713.35x = 18,562,668,181.83
  5. Step 5: Solve for x
    x = 18,562,668,181.83/135,713.35
  6. Step 6: Final answer
    x = 136,778.50

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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.