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Finding the Fourth Proportional to 135,164.84, 202,734.30 and 41,645.48

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Solution

The fourth proportional to 135,164.84, 202,734.30 and 41,645.48 is: 62,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,164.84 : 202,734.30 = 41,645.48 : x
  2. Step 2: Convert to fraction form
    135,164.84/202,734.30 = 41,645.48/x
  3. Step 3: Cross multiply
    135,164.84x = 202,734.30 × 41,645.48
  4. Step 4: Simplify right side
    135,164.84x = 8,442,967,235.96
  5. Step 5: Solve for x
    x = 8,442,967,235.96/135,164.84
  6. Step 6: Final answer
    x = 62,464.23

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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.