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Finding the Fourth Proportional to 120,289.34, 180,446.16 and 41,393.18

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Solution

The fourth proportional to 120,289.34, 180,446.16 and 41,393.18 is: 62,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,289.34 : 180,446.16 = 41,393.18 : x
  2. Step 2: Convert to fraction form
    120,289.34/180,446.16 = 41,393.18/x
  3. Step 3: Cross multiply
    120,289.34x = 180,446.16 × 41,393.18
  4. Step 4: Simplify right side
    120,289.34x = 7,469,240,381.19
  5. Step 5: Solve for x
    x = 7,469,240,381.19/120,289.34
  6. Step 6: Final answer
    x = 62,093.95

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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.