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Finding the Fourth Proportional to 138,911.51, 208,367.26 and 33,729.77

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Solution

The fourth proportional to 138,911.51, 208,367.26 and 33,729.77 is: 50,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.51 : 208,367.26 = 33,729.77 : x
  2. Step 2: Convert to fraction form
    138,911.51/208,367.26 = 33,729.77/x
  3. Step 3: Cross multiply
    138,911.51x = 208,367.26 × 33,729.77
  4. Step 4: Simplify right side
    138,911.51x = 7,028,179,755.33
  5. Step 5: Solve for x
    x = 7,028,179,755.33/138,911.51
  6. Step 6: Final answer
    x = 50,594.65

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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.