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Finding the Fourth Proportional to 120,446.46, 180,682 and 41,560.46

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Solution

The fourth proportional to 120,446.46, 180,682 and 41,560.46 is: 62,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,446.46 : 180,682 = 41,560.46 : x
  2. Step 2: Convert to fraction form
    120,446.46/180,682 = 41,560.46/x
  3. Step 3: Cross multiply
    120,446.46x = 180,682 × 41,560.46
  4. Step 4: Simplify right side
    120,446.46x = 7,509,227,033.72
  5. Step 5: Solve for x
    x = 7,509,227,033.72/120,446.46
  6. Step 6: Final answer
    x = 62,344.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.