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Finding the Fourth Proportional to 100,408.10, 138,707.36 and 80,238.56

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Solution

The fourth proportional to 100,408.10, 138,707.36 and 80,238.56 is: 110,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.10 : 138,707.36 = 80,238.56 : x
  2. Step 2: Convert to fraction form
    100,408.10/138,707.36 = 80,238.56/x
  3. Step 3: Cross multiply
    100,408.10x = 138,707.36 × 80,238.56
  4. Step 4: Simplify right side
    100,408.10x = 11,129,678,827.80
  5. Step 5: Solve for x
    x = 11,129,678,827.80/100,408.10
  6. Step 6: Final answer
    x = 110,844.43

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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.