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Finding the Fourth Proportional to 206,606, 309,960.84 and 58,862

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Solution

The fourth proportional to 206,606, 309,960.84 and 58,862 is: 88,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,606 : 309,960.84 = 58,862 : x
  2. Step 2: Convert to fraction form
    206,606/309,960.84 = 58,862/x
  3. Step 3: Cross multiply
    206,606x = 309,960.84 × 58,862
  4. Step 4: Simplify right side
    206,606x = 18,244,914,964.08
  5. Step 5: Solve for x
    x = 18,244,914,964.08/206,606
  6. Step 6: Final answer
    x = 88,307.77

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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.