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Finding the Fourth Proportional to 195,918, 270,369 and 106,494

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Solution

The fourth proportional to 195,918, 270,369 and 106,494 is: 146,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,918 : 270,369 = 106,494 : x
  2. Step 2: Convert to fraction form
    195,918/270,369 = 106,494/x
  3. Step 3: Cross multiply
    195,918x = 270,369 × 106,494
  4. Step 4: Simplify right side
    195,918x = 28,792,676,286
  5. Step 5: Solve for x
    x = 28,792,676,286/195,918
  6. Step 6: Final answer
    x = 146,962.89

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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.