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Finding the Fourth Proportional to 195,706, 270,074.46 and 106,282

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Solution

The fourth proportional to 195,706, 270,074.46 and 106,282 is: 146,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,706 : 270,074.46 = 106,282 : x
  2. Step 2: Convert to fraction form
    195,706/270,074.46 = 106,282/x
  3. Step 3: Cross multiply
    195,706x = 270,074.46 × 106,282
  4. Step 4: Simplify right side
    195,706x = 28,704,053,757.72
  5. Step 5: Solve for x
    x = 28,704,053,757.72/195,706
  6. Step 6: Final answer
    x = 146,669.26

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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.