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Finding the Fourth Proportional to 187,825.58, 281,751.41 and 75,505.86

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Solution

The fourth proportional to 187,825.58, 281,751.41 and 75,505.86 is: 113,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,825.58 : 281,751.41 = 75,505.86 : x
  2. Step 2: Convert to fraction form
    187,825.58/281,751.41 = 75,505.86/x
  3. Step 3: Cross multiply
    187,825.58x = 281,751.41 × 75,505.86
  4. Step 4: Simplify right side
    187,825.58x = 21,273,882,140.73
  5. Step 5: Solve for x
    x = 21,273,882,140.73/187,825.58
  6. Step 6: Final answer
    x = 113,264.03

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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.