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Finding the Fourth Proportional to 195,872.20, 293,817.90 and 102,560.20

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Solution

The fourth proportional to 195,872.20, 293,817.90 and 102,560.20 is: 153,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,872.20 : 293,817.90 = 102,560.20 : x
  2. Step 2: Convert to fraction form
    195,872.20/293,817.90 = 102,560.20/x
  3. Step 3: Cross multiply
    195,872.20x = 293,817.90 × 102,560.20
  4. Step 4: Simplify right side
    195,872.20x = 30,134,022,587.58
  5. Step 5: Solve for x
    x = 30,134,022,587.58/195,872.20
  6. Step 6: Final answer
    x = 153,845.33

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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.