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Finding the Fourth Proportional to 206,556.56, 283,191.46 and 202,824.08

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Solution

The fourth proportional to 206,556.56, 283,191.46 and 202,824.08 is: 278,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,556.56 : 283,191.46 = 202,824.08 : x
  2. Step 2: Convert to fraction form
    206,556.56/283,191.46 = 202,824.08/x
  3. Step 3: Cross multiply
    206,556.56x = 283,191.46 × 202,824.08
  4. Step 4: Simplify right side
    206,556.56x = 57,438,047,338.36
  5. Step 5: Solve for x
    x = 57,438,047,338.36/206,556.56
  6. Step 6: Final answer
    x = 278,074.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.