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Finding the Fourth Proportional to 138,757.56, 191,485.38 and 75,095.34

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Solution

The fourth proportional to 138,757.56, 191,485.38 and 75,095.34 is: 103,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,757.56 : 191,485.38 = 75,095.34 : x
  2. Step 2: Convert to fraction form
    138,757.56/191,485.38 = 75,095.34/x
  3. Step 3: Cross multiply
    138,757.56x = 191,485.38 × 75,095.34
  4. Step 4: Simplify right side
    138,757.56x = 14,379,659,716.13
  5. Step 5: Solve for x
    x = 14,379,659,716.13/138,757.56
  6. Step 6: Final answer
    x = 103,631.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.