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Finding the Fourth Proportional to 138,816.06, 208,224.18 and 33,635.22

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Solution

The fourth proportional to 138,816.06, 208,224.18 and 33,635.22 is: 50,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,816.06 : 208,224.18 = 33,635.22 : x
  2. Step 2: Convert to fraction form
    138,816.06/208,224.18 = 33,635.22/x
  3. Step 3: Cross multiply
    138,816.06x = 208,224.18 × 33,635.22
  4. Step 4: Simplify right side
    138,816.06x = 7,003,666,103.62
  5. Step 5: Solve for x
    x = 7,003,666,103.62/138,816.06
  6. Step 6: Final answer
    x = 50,452.85

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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.