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Finding the Fourth Proportional to 180,415.80, 270,105.30 and 161,753.40

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Solution

The fourth proportional to 180,415.80, 270,105.30 and 161,753.40 is: 242,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,415.80 : 270,105.30 = 161,753.40 : x
  2. Step 2: Convert to fraction form
    180,415.80/270,105.30 = 161,753.40/x
  3. Step 3: Cross multiply
    180,415.80x = 270,105.30 × 161,753.40
  4. Step 4: Simplify right side
    180,415.80x = 43,690,450,633.02
  5. Step 5: Solve for x
    x = 43,690,450,633.02/180,415.80
  6. Step 6: Final answer
    x = 242,165.32

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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.