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Finding the Fourth Proportional to 135,200, 202,800 and 36,704

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Solution

The fourth proportional to 135,200, 202,800 and 36,704 is: 55,056

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,200 : 202,800 = 36,704 : x
  2. Step 2: Convert to fraction form
    135,200/202,800 = 36,704/x
  3. Step 3: Cross multiply
    135,200x = 202,800 × 36,704
  4. Step 4: Simplify right side
    135,200x = 7,443,571,200
  5. Step 5: Solve for x
    x = 7,443,571,200/135,200
  6. Step 6: Final answer
    x = 55,056

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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.