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Finding the Fourth Proportional to 135,785.68, 203,692.40 and 47,039.04

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Solution

The fourth proportional to 135,785.68, 203,692.40 and 47,039.04 is: 70,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,785.68 : 203,692.40 = 47,039.04 : x
  2. Step 2: Convert to fraction form
    135,785.68/203,692.40 = 47,039.04/x
  3. Step 3: Cross multiply
    135,785.68x = 203,692.40 × 47,039.04
  4. Step 4: Simplify right side
    135,785.68x = 9,581,494,951.30
  5. Step 5: Solve for x
    x = 9,581,494,951.30/135,785.68
  6. Step 6: Final answer
    x = 70,563.37

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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.