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Finding the Fourth Proportional to 100,165.25, 138,228.06 and 54,843.24

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Solution

The fourth proportional to 100,165.25, 138,228.06 and 54,843.24 is: 75,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,165.25 : 138,228.06 = 54,843.24 : x
  2. Step 2: Convert to fraction form
    100,165.25/138,228.06 = 54,843.24/x
  3. Step 3: Cross multiply
    100,165.25x = 138,228.06 × 54,843.24
  4. Step 4: Simplify right side
    100,165.25x = 7,580,874,669.31
  5. Step 5: Solve for x
    x = 7,580,874,669.31/100,165.25
  6. Step 6: Final answer
    x = 75,683.68

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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.