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Finding the Fourth Proportional to 138,772.26, 208,093.50 and 50,014.08

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Solution

The fourth proportional to 138,772.26, 208,093.50 and 50,014.08 is: 74,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,772.26 : 208,093.50 = 50,014.08 : x
  2. Step 2: Convert to fraction form
    138,772.26/208,093.50 = 50,014.08/x
  3. Step 3: Cross multiply
    138,772.26x = 208,093.50 × 50,014.08
  4. Step 4: Simplify right side
    138,772.26x = 10,407,604,956.48
  5. Step 5: Solve for x
    x = 10,407,604,956.48/138,772.26
  6. Step 6: Final answer
    x = 74,997.73

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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.