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Finding the Fourth Proportional to 120,405.24, 180,555.50 and 64,232.82

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Solution

The fourth proportional to 120,405.24, 180,555.50 and 64,232.82 is: 96,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.24 : 180,555.50 = 64,232.82 : x
  2. Step 2: Convert to fraction form
    120,405.24/180,555.50 = 64,232.82/x
  3. Step 3: Cross multiply
    120,405.24x = 180,555.50 × 64,232.82
  4. Step 4: Simplify right side
    120,405.24x = 11,597,588,610.35
  5. Step 5: Solve for x
    x = 11,597,588,610.35/120,405.24
  6. Step 6: Final answer
    x = 96,321.29

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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.