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Finding the Fourth Proportional to 135,191, 202,786.50 and 36,695

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Solution

The fourth proportional to 135,191, 202,786.50 and 36,695 is: 55,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,191 : 202,786.50 = 36,695 : x
  2. Step 2: Convert to fraction form
    135,191/202,786.50 = 36,695/x
  3. Step 3: Cross multiply
    135,191x = 202,786.50 × 36,695
  4. Step 4: Simplify right side
    135,191x = 7,441,250,617.50
  5. Step 5: Solve for x
    x = 7,441,250,617.50/135,191
  6. Step 6: Final answer
    x = 55,042.50

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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.