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Finding the Fourth Proportional to 100,249.08, 138,028.14 and 85,111.80

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Solution

The fourth proportional to 100,249.08, 138,028.14 and 85,111.80 is: 117,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,249.08 : 138,028.14 = 85,111.80 : x
  2. Step 2: Convert to fraction form
    100,249.08/138,028.14 = 85,111.80/x
  3. Step 3: Cross multiply
    100,249.08x = 138,028.14 × 85,111.80
  4. Step 4: Simplify right side
    100,249.08x = 11,747,823,446.05
  5. Step 5: Solve for x
    x = 11,747,823,446.05/100,249.08
  6. Step 6: Final answer
    x = 117,186.35

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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.