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Finding the Fourth Proportional to 135,727.83, 203,591.75 and 73,519.83

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Solution

The fourth proportional to 135,727.83, 203,591.75 and 73,519.83 is: 110,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,727.83 : 203,591.75 = 73,519.83 : x
  2. Step 2: Convert to fraction form
    135,727.83/203,591.75 = 73,519.83/x
  3. Step 3: Cross multiply
    135,727.83x = 203,591.75 × 73,519.83
  4. Step 4: Simplify right side
    135,727.83x = 14,968,030,849.40
  5. Step 5: Solve for x
    x = 14,968,030,849.40/135,727.83
  6. Step 6: Final answer
    x = 110,279.75

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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.