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Finding the Fourth Proportional to 180,555.38, 270,832.41 and 54,195.08

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Solution

The fourth proportional to 180,555.38, 270,832.41 and 54,195.08 is: 81,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,555.38 : 270,832.41 = 54,195.08 : x
  2. Step 2: Convert to fraction form
    180,555.38/270,832.41 = 54,195.08/x
  3. Step 3: Cross multiply
    180,555.38x = 270,832.41 × 54,195.08
  4. Step 4: Simplify right side
    180,555.38x = 14,677,784,126.54
  5. Step 5: Solve for x
    x = 14,677,784,126.54/180,555.38
  6. Step 6: Final answer
    x = 81,292.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.