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Finding the Fourth Proportional to 256,005.20, 384,007.80 and 145,413.20

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Solution

The fourth proportional to 256,005.20, 384,007.80 and 145,413.20 is: 218,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,005.20 : 384,007.80 = 145,413.20 : x
  2. Step 2: Convert to fraction form
    256,005.20/384,007.80 = 145,413.20/x
  3. Step 3: Cross multiply
    256,005.20x = 384,007.80 × 145,413.20
  4. Step 4: Simplify right side
    256,005.20x = 55,839,803,022.96
  5. Step 5: Solve for x
    x = 55,839,803,022.96/256,005.20
  6. Step 6: Final answer
    x = 218,119.80

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