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Finding the Fourth Proportional to 257,121.96, 385,012.26 and 206,927.88

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Solution

The fourth proportional to 257,121.96, 385,012.26 and 206,927.88 is: 309,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,121.96 : 385,012.26 = 206,927.88 : x
  2. Step 2: Convert to fraction form
    257,121.96/385,012.26 = 206,927.88/x
  3. Step 3: Cross multiply
    257,121.96x = 385,012.26 × 206,927.88
  4. Step 4: Simplify right side
    257,121.96x = 79,669,770,735.81
  5. Step 5: Solve for x
    x = 79,669,770,735.81/257,121.96
  6. Step 6: Final answer
    x = 309,852.07

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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.