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Finding the Fourth Proportional to 187,781.84, 281,672.96 and 47,540.46

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Solution

The fourth proportional to 187,781.84, 281,672.96 and 47,540.46 is: 71,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,781.84 : 281,672.96 = 47,540.46 : x
  2. Step 2: Convert to fraction form
    187,781.84/281,672.96 = 47,540.46/x
  3. Step 3: Cross multiply
    187,781.84x = 281,672.96 × 47,540.46
  4. Step 4: Simplify right side
    187,781.84x = 13,390,861,850.26
  5. Step 5: Solve for x
    x = 13,390,861,850.26/187,781.84
  6. Step 6: Final answer
    x = 71,310.74

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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.