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Finding the Fourth Proportional to 206,397, 309,647.52 and 58,653

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Solution

The fourth proportional to 206,397, 309,647.52 and 58,653 is: 87,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397 : 309,647.52 = 58,653 : x
  2. Step 2: Convert to fraction form
    206,397/309,647.52 = 58,653/x
  3. Step 3: Cross multiply
    206,397x = 309,647.52 × 58,653
  4. Step 4: Simplify right side
    206,397x = 18,161,755,990.56
  5. Step 5: Solve for x
    x = 18,161,755,990.56/206,397
  6. Step 6: Final answer
    x = 87,994.28

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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.