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Finding the Fourth Proportional to 138,904.26, 208,356.38 and 33,722.52

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Solution

The fourth proportional to 138,904.26, 208,356.38 and 33,722.52 is: 50,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,904.26 : 208,356.38 = 33,722.52 : x
  2. Step 2: Convert to fraction form
    138,904.26/208,356.38 = 33,722.52/x
  3. Step 3: Cross multiply
    138,904.26x = 208,356.38 × 33,722.52
  4. Step 4: Simplify right side
    138,904.26x = 7,026,302,191.68
  5. Step 5: Solve for x
    x = 7,026,302,191.68/138,904.26
  6. Step 6: Final answer
    x = 50,583.78

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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.