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Finding the Fourth Proportional to 187,741.80, 281,578.52 and 75,417.48

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Solution

The fourth proportional to 187,741.80, 281,578.52 and 75,417.48 is: 113,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,741.80 : 281,578.52 = 75,417.48 : x
  2. Step 2: Convert to fraction form
    187,741.80/281,578.52 = 75,417.48/x
  3. Step 3: Cross multiply
    187,741.80x = 281,578.52 × 75,417.48
  4. Step 4: Simplify right side
    187,741.80x = 21,235,942,400.53
  5. Step 5: Solve for x
    x = 21,235,942,400.53/187,741.80
  6. Step 6: Final answer
    x = 113,112.49

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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.