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Finding the Fourth Proportional to 135,885.96, 203,607 and 82,594.24

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Solution

The fourth proportional to 135,885.96, 203,607 and 82,594.24 is: 123,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,885.96 : 203,607 = 82,594.24 : x
  2. Step 2: Convert to fraction form
    135,885.96/203,607 = 82,594.24/x
  3. Step 3: Cross multiply
    135,885.96x = 203,607 × 82,594.24
  4. Step 4: Simplify right side
    135,885.96x = 16,816,765,423.68
  5. Step 5: Solve for x
    x = 16,816,765,423.68/135,885.96
  6. Step 6: Final answer
    x = 123,756.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.