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Finding the Fourth Proportional to 256,184.40, 384,290.62 and 106,439.83

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Solution

The fourth proportional to 256,184.40, 384,290.62 and 106,439.83 is: 159,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,184.40 : 384,290.62 = 106,439.83 : x
  2. Step 2: Convert to fraction form
    256,184.40/384,290.62 = 106,439.83/x
  3. Step 3: Cross multiply
    256,184.40x = 384,290.62 × 106,439.83
  4. Step 4: Simplify right side
    256,184.40x = 40,903,828,263.39
  5. Step 5: Solve for x
    x = 40,903,828,263.39/256,184.40
  6. Step 6: Final answer
    x = 159,665.57

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