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Finding the Fourth Proportional to 100,431.40, 138,604.10 and 55,118.13

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Solution

The fourth proportional to 100,431.40, 138,604.10 and 55,118.13 is: 76,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,431.40 : 138,604.10 = 55,118.13 : x
  2. Step 2: Convert to fraction form
    100,431.40/138,604.10 = 55,118.13/x
  3. Step 3: Cross multiply
    100,431.40x = 138,604.10 × 55,118.13
  4. Step 4: Simplify right side
    100,431.40x = 7,639,598,802.33
  5. Step 5: Solve for x
    x = 7,639,598,802.33/100,431.40
  6. Step 6: Final answer
    x = 76,067.83

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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.