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Finding the Fourth Proportional to 189,834.32, 284,643.68 and 77,382.83

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Solution

The fourth proportional to 189,834.32, 284,643.68 and 77,382.83 is: 116,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,834.32 : 284,643.68 = 77,382.83 : x
  2. Step 2: Convert to fraction form
    189,834.32/284,643.68 = 77,382.83/x
  3. Step 3: Cross multiply
    189,834.32x = 284,643.68 × 77,382.83
  4. Step 4: Simplify right side
    189,834.32x = 22,026,531,689.88
  5. Step 5: Solve for x
    x = 22,026,531,689.88/189,834.32
  6. Step 6: Final answer
    x = 116,030.30

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