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Finding the Fourth Proportional to 138,827.59, 208,241.39 and 33,646.56

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Solution

The fourth proportional to 138,827.59, 208,241.39 and 33,646.56 is: 50,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827.59 : 208,241.39 = 33,646.56 : x
  2. Step 2: Convert to fraction form
    138,827.59/208,241.39 = 33,646.56/x
  3. Step 3: Cross multiply
    138,827.59x = 208,241.39 × 33,646.56
  4. Step 4: Simplify right side
    138,827.59x = 7,006,606,765.33
  5. Step 5: Solve for x
    x = 7,006,606,765.33/138,827.59
  6. Step 6: Final answer
    x = 50,469.84

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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.