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Finding the Fourth Proportional to 135,167.84, 202,738.80 and 41,648.48

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Solution

The fourth proportional to 135,167.84, 202,738.80 and 41,648.48 is: 62,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,167.84 : 202,738.80 = 41,648.48 : x
  2. Step 2: Convert to fraction form
    135,167.84/202,738.80 = 41,648.48/x
  3. Step 3: Cross multiply
    135,167.84x = 202,738.80 × 41,648.48
  4. Step 4: Simplify right side
    135,167.84x = 8,443,762,857.02
  5. Step 5: Solve for x
    x = 8,443,762,857.02/135,167.84
  6. Step 6: Final answer
    x = 62,468.73

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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.