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Finding the Fourth Proportional to 78,200.20, 107,916.42 and 42,390.10

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Solution

The fourth proportional to 78,200.20, 107,916.42 and 42,390.10 is: 58,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.20 : 107,916.42 = 42,390.10 : x
  2. Step 2: Convert to fraction form
    78,200.20/107,916.42 = 42,390.10/x
  3. Step 3: Cross multiply
    78,200.20x = 107,916.42 × 42,390.10
  4. Step 4: Simplify right side
    78,200.20x = 4,574,587,835.44
  5. Step 5: Solve for x
    x = 4,574,587,835.44/78,200.20
  6. Step 6: Final answer
    x = 58,498.42

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