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Finding the Fourth Proportional to 100,165.26, 138,228.10 and 54,846.12

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Solution

The fourth proportional to 100,165.26, 138,228.10 and 54,846.12 is: 75,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,165.26 : 138,228.10 = 54,846.12 : x
  2. Step 2: Convert to fraction form
    100,165.26/138,228.10 = 54,846.12/x
  3. Step 3: Cross multiply
    100,165.26x = 138,228.10 × 54,846.12
  4. Step 4: Simplify right side
    100,165.26x = 7,581,274,156.02
  5. Step 5: Solve for x
    x = 7,581,274,156.02/100,165.26
  6. Step 6: Final answer
    x = 75,687.66

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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.