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Finding the Fourth Proportional to 106,978.10, 160,418.55 and 47,783.30

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Solution

The fourth proportional to 106,978.10, 160,418.55 and 47,783.30 is: 71,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978.10 : 160,418.55 = 47,783.30 : x
  2. Step 2: Convert to fraction form
    106,978.10/160,418.55 = 47,783.30/x
  3. Step 3: Cross multiply
    106,978.10x = 160,418.55 × 47,783.30
  4. Step 4: Simplify right side
    106,978.10x = 7,665,327,700.22
  5. Step 5: Solve for x
    x = 7,665,327,700.22/106,978.10
  6. Step 6: Final answer
    x = 71,653.24

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