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Finding the Fourth Proportional to 78,106.43, 107,786.75 and 42,296.58

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Solution

The fourth proportional to 78,106.43, 107,786.75 and 42,296.58 is: 58,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.43 : 107,786.75 = 42,296.58 : x
  2. Step 2: Convert to fraction form
    78,106.43/107,786.75 = 42,296.58/x
  3. Step 3: Cross multiply
    78,106.43x = 107,786.75 × 42,296.58
  4. Step 4: Simplify right side
    78,106.43x = 4,559,010,920.75
  5. Step 5: Solve for x
    x = 4,559,010,920.75/78,106.43
  6. Step 6: Final answer
    x = 58,369.22

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