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Finding the Fourth Proportional to 232,698.14, 321,114.90 and 142,205.60

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Solution

The fourth proportional to 232,698.14, 321,114.90 and 142,205.60 is: 196,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,698.14 : 321,114.90 = 142,205.60 : x
  2. Step 2: Convert to fraction form
    232,698.14/321,114.90 = 142,205.60/x
  3. Step 3: Cross multiply
    232,698.14x = 321,114.90 × 142,205.60
  4. Step 4: Simplify right side
    232,698.14x = 45,664,337,023.44
  5. Step 5: Solve for x
    x = 45,664,337,023.44/232,698.14
  6. Step 6: Final answer
    x = 196,238.51

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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.