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Finding the Fourth Proportional to 135,339.96, 203,029.38 and 41,853

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Solution

The fourth proportional to 135,339.96, 203,029.38 and 41,853 is: 62,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,339.96 : 203,029.38 = 41,853 : x
  2. Step 2: Convert to fraction form
    135,339.96/203,029.38 = 41,853/x
  3. Step 3: Cross multiply
    135,339.96x = 203,029.38 × 41,853
  4. Step 4: Simplify right side
    135,339.96x = 8,497,388,641.14
  5. Step 5: Solve for x
    x = 8,497,388,641.14/135,339.96
  6. Step 6: Final answer
    x = 62,785.51

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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.