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Finding the Fourth Proportional to 100,408.59, 138,708.05 and 80,239.05

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Solution

The fourth proportional to 100,408.59, 138,708.05 and 80,239.05 is: 110,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.59 : 138,708.05 = 80,239.05 : x
  2. Step 2: Convert to fraction form
    100,408.59/138,708.05 = 80,239.05/x
  3. Step 3: Cross multiply
    100,408.59x = 138,708.05 × 80,239.05
  4. Step 4: Simplify right side
    100,408.59x = 11,129,801,758.16
  5. Step 5: Solve for x
    x = 11,129,801,758.16/100,408.59
  6. Step 6: Final answer
    x = 110,845.12

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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.