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Finding the Fourth Proportional to 205,836.80, 284,068.48 and 115,200.64

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Solution

The fourth proportional to 205,836.80, 284,068.48 and 115,200.64 is: 158,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,836.80 : 284,068.48 = 115,200.64 : x
  2. Step 2: Convert to fraction form
    205,836.80/284,068.48 = 115,200.64/x
  3. Step 3: Cross multiply
    205,836.80x = 284,068.48 × 115,200.64
  4. Step 4: Simplify right side
    205,836.80x = 32,724,870,699.83
  5. Step 5: Solve for x
    x = 32,724,870,699.83/205,836.80
  6. Step 6: Final answer
    x = 158,984.55

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