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Finding the Fourth Proportional to 78,222.14, 107,946.82 and 42,412.20

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Solution

The fourth proportional to 78,222.14, 107,946.82 and 42,412.20 is: 58,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.14 : 107,946.82 = 42,412.20 : x
  2. Step 2: Convert to fraction form
    78,222.14/107,946.82 = 42,412.20/x
  3. Step 3: Cross multiply
    78,222.14x = 107,946.82 × 42,412.20
  4. Step 4: Simplify right side
    78,222.14x = 4,578,262,119.20
  5. Step 5: Solve for x
    x = 4,578,262,119.20/78,222.14
  6. Step 6: Final answer
    x = 58,528.98

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