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Finding the Fourth Proportional to 256,538.20, 384,029.70 and 193,811.80

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Solution

The fourth proportional to 256,538.20, 384,029.70 and 193,811.80 is: 290,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,538.20 : 384,029.70 = 193,811.80 : x
  2. Step 2: Convert to fraction form
    256,538.20/384,029.70 = 193,811.80/x
  3. Step 3: Cross multiply
    256,538.20x = 384,029.70 × 193,811.80
  4. Step 4: Simplify right side
    256,538.20x = 74,429,487,410.46
  5. Step 5: Solve for x
    x = 74,429,487,410.46/256,538.20
  6. Step 6: Final answer
    x = 290,130.23

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