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Finding the Fourth Proportional to 180,555.12, 270,832.01 and 54,194.82

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Solution

The fourth proportional to 180,555.12, 270,832.01 and 54,194.82 is: 81,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,555.12 : 270,832.01 = 54,194.82 : x
  2. Step 2: Convert to fraction form
    180,555.12/270,832.01 = 54,194.82/x
  3. Step 3: Cross multiply
    180,555.12x = 270,832.01 × 54,194.82
  4. Step 4: Simplify right side
    180,555.12x = 14,677,690,678.03
  5. Step 5: Solve for x
    x = 14,677,690,678.03/180,555.12
  6. Step 6: Final answer
    x = 81,292.02

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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.