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Finding the Fourth Proportional to 205,088.96, 282,980.44 and 117,857.16

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Solution

The fourth proportional to 205,088.96, 282,980.44 and 117,857.16 is: 162,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,088.96 : 282,980.44 = 117,857.16 : x
  2. Step 2: Convert to fraction form
    205,088.96/282,980.44 = 117,857.16/x
  3. Step 3: Cross multiply
    205,088.96x = 282,980.44 × 117,857.16
  4. Step 4: Simplify right side
    205,088.96x = 33,351,270,993.95
  5. Step 5: Solve for x
    x = 33,351,270,993.95/205,088.96
  6. Step 6: Final answer
    x = 162,618.56

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