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Finding the Fourth Proportional to 180,012.30, 270,018.45 and 159,794.70

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Solution

The fourth proportional to 180,012.30, 270,018.45 and 159,794.70 is: 239,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,012.30 : 270,018.45 = 159,794.70 : x
  2. Step 2: Convert to fraction form
    180,012.30/270,018.45 = 159,794.70/x
  3. Step 3: Cross multiply
    180,012.30x = 270,018.45 × 159,794.70
  4. Step 4: Simplify right side
    180,012.30x = 43,147,517,212.22
  5. Step 5: Solve for x
    x = 43,147,517,212.22/180,012.30
  6. Step 6: Final answer
    x = 239,692.05

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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.