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Finding the Fourth Proportional to 275,234.41, 412,956.63 and 106,872.84

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Solution

The fourth proportional to 275,234.41, 412,956.63 and 106,872.84 is: 160,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,234.41 : 412,956.63 = 106,872.84 : x
  2. Step 2: Convert to fraction form
    275,234.41/412,956.63 = 106,872.84/x
  3. Step 3: Cross multiply
    275,234.41x = 412,956.63 × 106,872.84
  4. Step 4: Simplify right side
    275,234.41x = 44,133,849,006.37
  5. Step 5: Solve for x
    x = 44,133,849,006.37/275,234.41
  6. Step 6: Final answer
    x = 160,350.04

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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.