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Finding the Fourth Proportional to 206,579.52, 309,880.80 and 58,824

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Solution

The fourth proportional to 206,579.52, 309,880.80 and 58,824 is: 88,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,579.52 : 309,880.80 = 58,824 : x
  2. Step 2: Convert to fraction form
    206,579.52/309,880.80 = 58,824/x
  3. Step 3: Cross multiply
    206,579.52x = 309,880.80 × 58,824
  4. Step 4: Simplify right side
    206,579.52x = 18,228,428,179.20
  5. Step 5: Solve for x
    x = 18,228,428,179.20/206,579.52
  6. Step 6: Final answer
    x = 88,239.28

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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.