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Finding the Fourth Proportional to 135,165.38, 202,764.47 and 41,671.13

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Solution

The fourth proportional to 135,165.38, 202,764.47 and 41,671.13 is: 62,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,165.38 : 202,764.47 = 41,671.13 : x
  2. Step 2: Convert to fraction form
    135,165.38/202,764.47 = 41,671.13/x
  3. Step 3: Cross multiply
    135,165.38x = 202,764.47 × 41,671.13
  4. Step 4: Simplify right side
    135,165.38x = 8,449,423,366.57
  5. Step 5: Solve for x
    x = 8,449,423,366.57/135,165.38
  6. Step 6: Final answer
    x = 62,511.74

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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.