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Finding the Fourth Proportional to 137,083.82, 205,629.78 and 37,243.49

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Solution

The fourth proportional to 137,083.82, 205,629.78 and 37,243.49 is: 55,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,083.82 : 205,629.78 = 37,243.49 : x
  2. Step 2: Convert to fraction form
    137,083.82/205,629.78 = 37,243.49/x
  3. Step 3: Cross multiply
    137,083.82x = 205,629.78 × 37,243.49
  4. Step 4: Simplify right side
    137,083.82x = 7,658,370,655.13
  5. Step 5: Solve for x
    x = 7,658,370,655.13/137,083.82
  6. Step 6: Final answer
    x = 55,866.34

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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.