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Finding the Fourth Proportional to 135,194, 202,791 and 36,698

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Solution

The fourth proportional to 135,194, 202,791 and 36,698 is: 55,047

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,194 : 202,791 = 36,698 : x
  2. Step 2: Convert to fraction form
    135,194/202,791 = 36,698/x
  3. Step 3: Cross multiply
    135,194x = 202,791 × 36,698
  4. Step 4: Simplify right side
    135,194x = 7,442,024,118
  5. Step 5: Solve for x
    x = 7,442,024,118/135,194
  6. Step 6: Final answer
    x = 55,047

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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.