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Finding the Fourth Proportional to 100,163.79, 138,220.77 and 54,833.09

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Solution

The fourth proportional to 100,163.79, 138,220.77 and 54,833.09 is: 75,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,163.79 : 138,220.77 = 54,833.09 : x
  2. Step 2: Convert to fraction form
    100,163.79/138,220.77 = 54,833.09/x
  3. Step 3: Cross multiply
    100,163.79x = 138,220.77 × 54,833.09
  4. Step 4: Simplify right side
    100,163.79x = 7,579,071,230.18
  5. Step 5: Solve for x
    x = 7,579,071,230.18/100,163.79
  6. Step 6: Final answer
    x = 75,666.78

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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.