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Finding the Fourth Proportional to 195,774, 270,168.12 and 106,350

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Solution

The fourth proportional to 195,774, 270,168.12 and 106,350 is: 146,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,774 : 270,168.12 = 106,350 : x
  2. Step 2: Convert to fraction form
    195,774/270,168.12 = 106,350/x
  3. Step 3: Cross multiply
    195,774x = 270,168.12 × 106,350
  4. Step 4: Simplify right side
    195,774x = 28,732,379,562
  5. Step 5: Solve for x
    x = 28,732,379,562/195,774
  6. Step 6: Final answer
    x = 146,763

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.