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Finding the Fourth Proportional to 100,106.88, 138,163.05 and 57,086.48

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Solution

The fourth proportional to 100,106.88, 138,163.05 and 57,086.48 is: 78,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,106.88 : 138,163.05 = 57,086.48 : x
  2. Step 2: Convert to fraction form
    100,106.88/138,163.05 = 57,086.48/x
  3. Step 3: Cross multiply
    100,106.88x = 138,163.05 × 57,086.48
  4. Step 4: Simplify right side
    100,106.88x = 7,887,241,499.75
  5. Step 5: Solve for x
    x = 7,887,241,499.75/100,106.88
  6. Step 6: Final answer
    x = 78,788.21

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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.