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Finding the Fourth Proportional to 187,367.44, 281,051.64 and 76,559.44

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Solution

The fourth proportional to 187,367.44, 281,051.64 and 76,559.44 is: 114,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,367.44 : 281,051.64 = 76,559.44 : x
  2. Step 2: Convert to fraction form
    187,367.44/281,051.64 = 76,559.44/x
  3. Step 3: Cross multiply
    187,367.44x = 281,051.64 × 76,559.44
  4. Step 4: Simplify right side
    187,367.44x = 21,517,156,169.48
  5. Step 5: Solve for x
    x = 21,517,156,169.48/187,367.44
  6. Step 6: Final answer
    x = 114,839.36

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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.