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Finding the Fourth Proportional to 105,829.71, 158,738.38 and 77,395.46

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Solution

The fourth proportional to 105,829.71, 158,738.38 and 77,395.46 is: 116,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,829.71 : 158,738.38 = 77,395.46 : x
  2. Step 2: Convert to fraction form
    105,829.71/158,738.38 = 77,395.46/x
  3. Step 3: Cross multiply
    105,829.71x = 158,738.38 × 77,395.46
  4. Step 4: Simplify right side
    105,829.71x = 12,285,630,530.09
  5. Step 5: Solve for x
    x = 12,285,630,530.09/105,829.71
  6. Step 6: Final answer
    x = 116,088.67

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