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Finding the Fourth Proportional to 137,249.52, 205,868.22 and 37,409.71

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Solution

The fourth proportional to 137,249.52, 205,868.22 and 37,409.71 is: 56,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,249.52 : 205,868.22 = 37,409.71 : x
  2. Step 2: Convert to fraction form
    137,249.52/205,868.22 = 37,409.71/x
  3. Step 3: Cross multiply
    137,249.52x = 205,868.22 × 37,409.71
  4. Step 4: Simplify right side
    137,249.52x = 7,701,469,560.46
  5. Step 5: Solve for x
    x = 7,701,469,560.46/137,249.52
  6. Step 6: Final answer
    x = 56,112.91

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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.