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Finding the Fourth Proportional to 137,594.24, 189,864.16 and 77,165

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Solution

The fourth proportional to 137,594.24, 189,864.16 and 77,165 is: 106,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,594.24 : 189,864.16 = 77,165 : x
  2. Step 2: Convert to fraction form
    137,594.24/189,864.16 = 77,165/x
  3. Step 3: Cross multiply
    137,594.24x = 189,864.16 × 77,165
  4. Step 4: Simplify right side
    137,594.24x = 14,650,867,906.40
  5. Step 5: Solve for x
    x = 14,650,867,906.40/137,594.24
  6. Step 6: Final answer
    x = 106,478.79

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