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Finding the Fourth Proportional to 138,927, 208,390.52 and 33,745.26

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Solution

The fourth proportional to 138,927, 208,390.52 and 33,745.26 is: 50,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,927 : 208,390.52 = 33,745.26 : x
  2. Step 2: Convert to fraction form
    138,927/208,390.52 = 33,745.26/x
  3. Step 3: Cross multiply
    138,927x = 208,390.52 × 33,745.26
  4. Step 4: Simplify right side
    138,927x = 7,032,192,278.94
  5. Step 5: Solve for x
    x = 7,032,192,278.94/138,927
  6. Step 6: Final answer
    x = 50,617.89

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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.