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Finding the Fourth Proportional to 135,952.27, 187,611.60 and 75,522.31

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Solution

The fourth proportional to 135,952.27, 187,611.60 and 75,522.31 is: 104,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,952.27 : 187,611.60 = 75,522.31 : x
  2. Step 2: Convert to fraction form
    135,952.27/187,611.60 = 75,522.31/x
  3. Step 3: Cross multiply
    135,952.27x = 187,611.60 × 75,522.31
  4. Step 4: Simplify right side
    135,952.27x = 14,168,861,414.80
  5. Step 5: Solve for x
    x = 14,168,861,414.80/135,952.27
  6. Step 6: Final answer
    x = 104,219.38

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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.