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Finding the Fourth Proportional to 189,576.22, 284,284.94 and 77,180

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Solution

The fourth proportional to 189,576.22, 284,284.94 and 77,180 is: 115,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,576.22 : 284,284.94 = 77,180 : x
  2. Step 2: Convert to fraction form
    189,576.22/284,284.94 = 77,180/x
  3. Step 3: Cross multiply
    189,576.22x = 284,284.94 × 77,180
  4. Step 4: Simplify right side
    189,576.22x = 21,941,111,669.20
  5. Step 5: Solve for x
    x = 21,941,111,669.20/189,576.22
  6. Step 6: Final answer
    x = 115,737.68

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