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Finding the Fourth Proportional to 135,880.50, 203,598.78 and 82,588.78

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Solution

The fourth proportional to 135,880.50, 203,598.78 and 82,588.78 is: 123,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,880.50 : 203,598.78 = 82,588.78 : x
  2. Step 2: Convert to fraction form
    135,880.50/203,598.78 = 82,588.78/x
  3. Step 3: Cross multiply
    135,880.50x = 203,598.78 × 82,588.78
  4. Step 4: Simplify right side
    135,880.50x = 16,814,974,849.69
  5. Step 5: Solve for x
    x = 16,814,974,849.69/135,880.50
  6. Step 6: Final answer
    x = 123,748.26

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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.