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Finding the Fourth Proportional to 100,536.12, 138,741.29 and 55,218.17

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Solution

The fourth proportional to 100,536.12, 138,741.29 and 55,218.17 is: 76,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,536.12 : 138,741.29 = 55,218.17 : x
  2. Step 2: Convert to fraction form
    100,536.12/138,741.29 = 55,218.17/x
  3. Step 3: Cross multiply
    100,536.12x = 138,741.29 × 55,218.17
  4. Step 4: Simplify right side
    100,536.12x = 7,661,040,415.07
  5. Step 5: Solve for x
    x = 7,661,040,415.07/100,536.12
  6. Step 6: Final answer
    x = 76,201.87

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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.