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Finding the Fourth Proportional to 138,791.40, 208,186.32 and 33,610.36

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Solution

The fourth proportional to 138,791.40, 208,186.32 and 33,610.36 is: 50,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,791.40 : 208,186.32 = 33,610.36 : x
  2. Step 2: Convert to fraction form
    138,791.40/208,186.32 = 33,610.36/x
  3. Step 3: Cross multiply
    138,791.40x = 208,186.32 × 33,610.36
  4. Step 4: Simplify right side
    138,791.40x = 6,997,217,162.28
  5. Step 5: Solve for x
    x = 6,997,217,162.28/138,791.40
  6. Step 6: Final answer
    x = 50,415.35

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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.