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Finding the Fourth Proportional to 180,236.66, 270,414.24 and 73,710.24

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Solution

The fourth proportional to 180,236.66, 270,414.24 and 73,710.24 is: 110,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236.66 : 270,414.24 = 73,710.24 : x
  2. Step 2: Convert to fraction form
    180,236.66/270,414.24 = 73,710.24/x
  3. Step 3: Cross multiply
    180,236.66x = 270,414.24 × 73,710.24
  4. Step 4: Simplify right side
    180,236.66x = 19,932,298,529.82
  5. Step 5: Solve for x
    x = 19,932,298,529.82/180,236.66
  6. Step 6: Final answer
    x = 110,589.59

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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.