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Finding the Fourth Proportional to 100,099.68, 138,137.57 and 54,777.66

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Solution

The fourth proportional to 100,099.68, 138,137.57 and 54,777.66 is: 75,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,099.68 : 138,137.57 = 54,777.66 : x
  2. Step 2: Convert to fraction form
    100,099.68/138,137.57 = 54,777.66/x
  3. Step 3: Cross multiply
    100,099.68x = 138,137.57 × 54,777.66
  4. Step 4: Simplify right side
    100,099.68x = 7,566,853,729.86
  5. Step 5: Solve for x
    x = 7,566,853,729.86/100,099.68
  6. Step 6: Final answer
    x = 75,593.18

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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.