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Finding the Fourth Proportional to 135,180, 202,770.36 and 36,684

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Solution

The fourth proportional to 135,180, 202,770.36 and 36,684 is: 55,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,180 : 202,770.36 = 36,684 : x
  2. Step 2: Convert to fraction form
    135,180/202,770.36 = 36,684/x
  3. Step 3: Cross multiply
    135,180x = 202,770.36 × 36,684
  4. Step 4: Simplify right side
    135,180x = 7,438,427,886.24
  5. Step 5: Solve for x
    x = 7,438,427,886.24/135,180
  6. Step 6: Final answer
    x = 55,026.10

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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.