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Finding the Fourth Proportional to 195,404.20, 293,115.90 and 102,092.20

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Solution

The fourth proportional to 195,404.20, 293,115.90 and 102,092.20 is: 153,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,404.20 : 293,115.90 = 102,092.20 : x
  2. Step 2: Convert to fraction form
    195,404.20/293,115.90 = 102,092.20/x
  3. Step 3: Cross multiply
    195,404.20x = 293,115.90 × 102,092.20
  4. Step 4: Simplify right side
    195,404.20x = 29,924,847,085.98
  5. Step 5: Solve for x
    x = 29,924,847,085.98/195,404.20
  6. Step 6: Final answer
    x = 153,143.32

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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.