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Finding the Fourth Proportional to 206,564.56, 284,994.12 and 115,907.20

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Solution

The fourth proportional to 206,564.56, 284,994.12 and 115,907.20 is: 159,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,564.56 : 284,994.12 = 115,907.20 : x
  2. Step 2: Convert to fraction form
    206,564.56/284,994.12 = 115,907.20/x
  3. Step 3: Cross multiply
    206,564.56x = 284,994.12 × 115,907.20
  4. Step 4: Simplify right side
    206,564.56x = 33,032,870,465.66
  5. Step 5: Solve for x
    x = 33,032,870,465.66/206,564.56
  6. Step 6: Final answer
    x = 159,915.48

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