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Finding the Fourth Proportional to 122,137.97, 183,198.19 and 37,895.97

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Solution

The fourth proportional to 122,137.97, 183,198.19 and 37,895.97 is: 56,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,137.97 : 183,198.19 = 37,895.97 : x
  2. Step 2: Convert to fraction form
    122,137.97/183,198.19 = 37,895.97/x
  3. Step 3: Cross multiply
    122,137.97x = 183,198.19 × 37,895.97
  4. Step 4: Simplify right side
    122,137.97x = 6,942,473,112.29
  5. Step 5: Solve for x
    x = 6,942,473,112.29/122,137.97
  6. Step 6: Final answer
    x = 56,841.24

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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.