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Finding the Fourth Proportional to 149,020.08, 205,589.40 and 85,324.08

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Solution

The fourth proportional to 149,020.08, 205,589.40 and 85,324.08 is: 117,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,020.08 : 205,589.40 = 85,324.08 : x
  2. Step 2: Convert to fraction form
    149,020.08/205,589.40 = 85,324.08/x
  3. Step 3: Cross multiply
    149,020.08x = 205,589.40 × 85,324.08
  4. Step 4: Simplify right side
    149,020.08x = 17,541,726,412.75
  5. Step 5: Solve for x
    x = 17,541,726,412.75/149,020.08
  6. Step 6: Final answer
    x = 117,713.84

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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.