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Finding the Fourth Proportional to 100,450.13, 138,621.20 and 55,738.13

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Solution

The fourth proportional to 100,450.13, 138,621.20 and 55,738.13 is: 76,918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,450.13 : 138,621.20 = 55,738.13 : x
  2. Step 2: Convert to fraction form
    100,450.13/138,621.20 = 55,738.13/x
  3. Step 3: Cross multiply
    100,450.13x = 138,621.20 × 55,738.13
  4. Step 4: Simplify right side
    100,450.13x = 7,726,485,494.56
  5. Step 5: Solve for x
    x = 7,726,485,494.56/100,450.13
  6. Step 6: Final answer
    x = 76,918.62

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