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Finding the Fourth Proportional to 100,067, 138,099.94 and 57,047.52

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Solution

The fourth proportional to 100,067, 138,099.94 and 57,047.52 is: 78,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,067 : 138,099.94 = 57,047.52 : x
  2. Step 2: Convert to fraction form
    100,067/138,099.94 = 57,047.52/x
  3. Step 3: Cross multiply
    100,067x = 138,099.94 × 57,047.52
  4. Step 4: Simplify right side
    100,067x = 7,878,259,089.15
  5. Step 5: Solve for x
    x = 7,878,259,089.15/100,067
  6. Step 6: Final answer
    x = 78,729.84

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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.