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Finding the Fourth Proportional to 120,223.46, 180,371.30 and 35,986.37

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Solution

The fourth proportional to 120,223.46, 180,371.30 and 35,986.37 is: 53,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223.46 : 180,371.30 = 35,986.37 : x
  2. Step 2: Convert to fraction form
    120,223.46/180,371.30 = 35,986.37/x
  3. Step 3: Cross multiply
    120,223.46x = 180,371.30 × 35,986.37
  4. Step 4: Simplify right side
    120,223.46x = 6,490,907,257.39
  5. Step 5: Solve for x
    x = 6,490,907,257.39/120,223.46
  6. Step 6: Final answer
    x = 53,990.35

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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.