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Finding the Fourth Proportional to 135,211, 202,817.30 and 36,715

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Solution

The fourth proportional to 135,211, 202,817.30 and 36,715 is: 55,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,211 : 202,817.30 = 36,715 : x
  2. Step 2: Convert to fraction form
    135,211/202,817.30 = 36,715/x
  3. Step 3: Cross multiply
    135,211x = 202,817.30 × 36,715
  4. Step 4: Simplify right side
    135,211x = 7,446,437,169.50
  5. Step 5: Solve for x
    x = 7,446,437,169.50/135,211
  6. Step 6: Final answer
    x = 55,072.72

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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.