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Finding the Fourth Proportional to 78,164.24, 107,866.32 and 42,354.40

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Solution

The fourth proportional to 78,164.24, 107,866.32 and 42,354.40 is: 58,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,164.24 : 107,866.32 = 42,354.40 : x
  2. Step 2: Convert to fraction form
    78,164.24/107,866.32 = 42,354.40/x
  3. Step 3: Cross multiply
    78,164.24x = 107,866.32 × 42,354.40
  4. Step 4: Simplify right side
    78,164.24x = 4,568,613,263.81
  5. Step 5: Solve for x
    x = 4,568,613,263.81/78,164.24
  6. Step 6: Final answer
    x = 58,448.89

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