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Finding the Fourth Proportional to 102,107.52, 153,109.44 and 46,656

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Solution

The fourth proportional to 102,107.52, 153,109.44 and 46,656 is: 69,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,107.52 : 153,109.44 = 46,656 : x
  2. Step 2: Convert to fraction form
    102,107.52/153,109.44 = 46,656/x
  3. Step 3: Cross multiply
    102,107.52x = 153,109.44 × 46,656
  4. Step 4: Simplify right side
    102,107.52x = 7,143,474,032.64
  5. Step 5: Solve for x
    x = 7,143,474,032.64/102,107.52
  6. Step 6: Final answer
    x = 69,960.31

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