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Finding the Fourth Proportional to 187,675.20, 281,499.84 and 82,491.84

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Solution

The fourth proportional to 187,675.20, 281,499.84 and 82,491.84 is: 123,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,675.20 : 281,499.84 = 82,491.84 : x
  2. Step 2: Convert to fraction form
    187,675.20/281,499.84 = 82,491.84/x
  3. Step 3: Cross multiply
    187,675.20x = 281,499.84 × 82,491.84
  4. Step 4: Simplify right side
    187,675.20x = 23,221,439,761.31
  5. Step 5: Solve for x
    x = 23,221,439,761.31/187,675.20
  6. Step 6: Final answer
    x = 123,732.06

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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.