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Finding the Fourth Proportional to 135,593.37, 187,106.38 and 75,161.09

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Solution

The fourth proportional to 135,593.37, 187,106.38 and 75,161.09 is: 103,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,593.37 : 187,106.38 = 75,161.09 : x
  2. Step 2: Convert to fraction form
    135,593.37/187,106.38 = 75,161.09/x
  3. Step 3: Cross multiply
    135,593.37x = 187,106.38 × 75,161.09
  4. Step 4: Simplify right side
    135,593.37x = 14,063,119,466.75
  5. Step 5: Solve for x
    x = 14,063,119,466.75/135,593.37
  6. Step 6: Final answer
    x = 103,715.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.