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Finding the Fourth Proportional to 100,408.92, 138,548.88 and 57,959.25

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Solution

The fourth proportional to 100,408.92, 138,548.88 and 57,959.25 is: 79,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.92 : 138,548.88 = 57,959.25 : x
  2. Step 2: Convert to fraction form
    100,408.92/138,548.88 = 57,959.25/x
  3. Step 3: Cross multiply
    100,408.92x = 138,548.88 × 57,959.25
  4. Step 4: Simplify right side
    100,408.92x = 8,030,189,173.14
  5. Step 5: Solve for x
    x = 8,030,189,173.14/100,408.92
  6. Step 6: Final answer
    x = 79,974.86

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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.