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Finding the Fourth Proportional to 135,652.50, 203,478.75 and 52,546.50

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Solution

The fourth proportional to 135,652.50, 203,478.75 and 52,546.50 is: 78,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,652.50 : 203,478.75 = 52,546.50 : x
  2. Step 2: Convert to fraction form
    135,652.50/203,478.75 = 52,546.50/x
  3. Step 3: Cross multiply
    135,652.50x = 203,478.75 × 52,546.50
  4. Step 4: Simplify right side
    135,652.50x = 10,692,096,136.88
  5. Step 5: Solve for x
    x = 10,692,096,136.88/135,652.50
  6. Step 6: Final answer
    x = 78,819.75

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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.