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Finding the Fourth Proportional to 142,326.20, 196,410.22 and 78,664.01

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Solution

The fourth proportional to 142,326.20, 196,410.22 and 78,664.01 is: 108,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,326.20 : 196,410.22 = 78,664.01 : x
  2. Step 2: Convert to fraction form
    142,326.20/196,410.22 = 78,664.01/x
  3. Step 3: Cross multiply
    142,326.20x = 196,410.22 × 78,664.01
  4. Step 4: Simplify right side
    142,326.20x = 15,450,414,331.47
  5. Step 5: Solve for x
    x = 15,450,414,331.47/142,326.20
  6. Step 6: Final answer
    x = 108,556.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.