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Finding the Fourth Proportional to 232,698.39, 321,115.28 and 142,205.82

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Solution

The fourth proportional to 232,698.39, 321,115.28 and 142,205.82 is: 196,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,698.39 : 321,115.28 = 142,205.82 : x
  2. Step 2: Convert to fraction form
    232,698.39/321,115.28 = 142,205.82/x
  3. Step 3: Cross multiply
    232,698.39x = 321,115.28 × 142,205.82
  4. Step 4: Simplify right side
    232,698.39x = 45,664,460,995.90
  5. Step 5: Solve for x
    x = 45,664,460,995.90/232,698.39
  6. Step 6: Final answer
    x = 196,238.84

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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.