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Finding the Fourth Proportional to 138,830.28, 208,245.42 and 33,649.25

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Solution

The fourth proportional to 138,830.28, 208,245.42 and 33,649.25 is: 50,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,830.28 : 208,245.42 = 33,649.25 : x
  2. Step 2: Convert to fraction form
    138,830.28/208,245.42 = 33,649.25/x
  3. Step 3: Cross multiply
    138,830.28x = 208,245.42 × 33,649.25
  4. Step 4: Simplify right side
    138,830.28x = 7,007,302,198.94
  5. Step 5: Solve for x
    x = 7,007,302,198.94/138,830.28
  6. Step 6: Final answer
    x = 50,473.88

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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.