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Finding the Fourth Proportional to 180,299.10, 270,464.03 and 47,179.24

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Solution

The fourth proportional to 180,299.10, 270,464.03 and 47,179.24 is: 70,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,299.10 : 270,464.03 = 47,179.24 : x
  2. Step 2: Convert to fraction form
    180,299.10/270,464.03 = 47,179.24/x
  3. Step 3: Cross multiply
    180,299.10x = 270,464.03 × 47,179.24
  4. Step 4: Simplify right side
    180,299.10x = 12,760,287,382.74
  5. Step 5: Solve for x
    x = 12,760,287,382.74/180,299.10
  6. Step 6: Final answer
    x = 70,772.88

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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.