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Finding the Fourth Proportional to 285,784.08, 394,292.26 and 164,909.50

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Solution

The fourth proportional to 285,784.08, 394,292.26 and 164,909.50 is: 227,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,784.08 : 394,292.26 = 164,909.50 : x
  2. Step 2: Convert to fraction form
    285,784.08/394,292.26 = 164,909.50/x
  3. Step 3: Cross multiply
    285,784.08x = 394,292.26 × 164,909.50
  4. Step 4: Simplify right side
    285,784.08x = 65,022,539,450.47
  5. Step 5: Solve for x
    x = 65,022,539,450.47/285,784.08
  6. Step 6: Final answer
    x = 227,523.31

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