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Finding the Fourth Proportional to 149,187.18, 205,878.21 and 82,119.18

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Solution

The fourth proportional to 149,187.18, 205,878.21 and 82,119.18 is: 113,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,187.18 : 205,878.21 = 82,119.18 : x
  2. Step 2: Convert to fraction form
    149,187.18/205,878.21 = 82,119.18/x
  3. Step 3: Cross multiply
    149,187.18x = 205,878.21 × 82,119.18
  4. Step 4: Simplify right side
    149,187.18x = 16,906,549,785.07
  5. Step 5: Solve for x
    x = 16,906,549,785.07/149,187.18
  6. Step 6: Final answer
    x = 113,324.41

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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.