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Finding the Fourth Proportional to 206,824.60, 310,309.80 and 199,534.60

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Solution

The fourth proportional to 206,824.60, 310,309.80 and 199,534.60 is: 299,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,824.60 : 310,309.80 = 199,534.60 : x
  2. Step 2: Convert to fraction form
    206,824.60/310,309.80 = 199,534.60/x
  3. Step 3: Cross multiply
    206,824.60x = 310,309.80 × 199,534.60
  4. Step 4: Simplify right side
    206,824.60x = 61,917,541,819.08
  5. Step 5: Solve for x
    x = 61,917,541,819.08/206,824.60
  6. Step 6: Final answer
    x = 299,372.23

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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.