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Finding the Fourth Proportional to 195,796.20, 293,694.30 and 116,869.80

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Solution

The fourth proportional to 195,796.20, 293,694.30 and 116,869.80 is: 175,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,796.20 : 293,694.30 = 116,869.80 : x
  2. Step 2: Convert to fraction form
    195,796.20/293,694.30 = 116,869.80/x
  3. Step 3: Cross multiply
    195,796.20x = 293,694.30 × 116,869.80
  4. Step 4: Simplify right side
    195,796.20x = 34,323,994,102.14
  5. Step 5: Solve for x
    x = 34,323,994,102.14/195,796.20
  6. Step 6: Final answer
    x = 175,304.70

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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.