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Finding the Fourth Proportional to 257,089.96, 384,964.26 and 206,895.88

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Solution

The fourth proportional to 257,089.96, 384,964.26 and 206,895.88 is: 309,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,089.96 : 384,964.26 = 206,895.88 : x
  2. Step 2: Convert to fraction form
    257,089.96/384,964.26 = 206,895.88/x
  3. Step 3: Cross multiply
    257,089.96x = 384,964.26 × 206,895.88
  4. Step 4: Simplify right side
    257,089.96x = 79,647,519,341.25
  5. Step 5: Solve for x
    x = 79,647,519,341.25/257,089.96
  6. Step 6: Final answer
    x = 309,804.08

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