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Finding the Fourth Proportional to 256,200.42, 384,314.62 and 106,455.85

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Solution

The fourth proportional to 256,200.42, 384,314.62 and 106,455.85 is: 159,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,200.42 : 384,314.62 = 106,455.85 : x
  2. Step 2: Convert to fraction form
    256,200.42/384,314.62 = 106,455.85/x
  3. Step 3: Cross multiply
    256,200.42x = 384,314.62 × 106,455.85
  4. Step 4: Simplify right side
    256,200.42x = 40,912,539,539.53
  5. Step 5: Solve for x
    x = 40,912,539,539.53/256,200.42
  6. Step 6: Final answer
    x = 159,689.59

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