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Finding the Fourth Proportional to 206,264, 309,447.84 and 58,520

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Solution

The fourth proportional to 206,264, 309,447.84 and 58,520 is: 87,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,264 : 309,447.84 = 58,520 : x
  2. Step 2: Convert to fraction form
    206,264/309,447.84 = 58,520/x
  3. Step 3: Cross multiply
    206,264x = 309,447.84 × 58,520
  4. Step 4: Simplify right side
    206,264x = 18,108,887,596.80
  5. Step 5: Solve for x
    x = 18,108,887,596.80/206,264
  6. Step 6: Final answer
    x = 87,794.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.