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Finding the Fourth Proportional to 135,206.32, 186,591.72 and 77,854.16

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Solution

The fourth proportional to 135,206.32, 186,591.72 and 77,854.16 is: 107,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,206.32 : 186,591.72 = 77,854.16 : x
  2. Step 2: Convert to fraction form
    135,206.32/186,591.72 = 77,854.16/x
  3. Step 3: Cross multiply
    135,206.32x = 186,591.72 × 77,854.16
  4. Step 4: Simplify right side
    135,206.32x = 14,526,941,623.56
  5. Step 5: Solve for x
    x = 14,526,941,623.56/135,206.32
  6. Step 6: Final answer
    x = 107,442.77

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