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Finding the Fourth Proportional to 78,140.57, 107,833.82 and 42,331.46

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Solution

The fourth proportional to 78,140.57, 107,833.82 and 42,331.46 is: 58,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140.57 : 107,833.82 = 42,331.46 : x
  2. Step 2: Convert to fraction form
    78,140.57/107,833.82 = 42,331.46/x
  3. Step 3: Cross multiply
    78,140.57x = 107,833.82 × 42,331.46
  4. Step 4: Simplify right side
    78,140.57x = 4,564,762,287.15
  5. Step 5: Solve for x
    x = 4,564,762,287.15/78,140.57
  6. Step 6: Final answer
    x = 58,417.32

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