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Finding the Fourth Proportional to 232,906.32, 321,359.40 and 148,147.92

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Solution

The fourth proportional to 232,906.32, 321,359.40 and 148,147.92 is: 204,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,906.32 : 321,359.40 = 148,147.92 : x
  2. Step 2: Convert to fraction form
    232,906.32/321,359.40 = 148,147.92/x
  3. Step 3: Cross multiply
    232,906.32x = 321,359.40 × 148,147.92
  4. Step 4: Simplify right side
    232,906.32x = 47,608,726,682.45
  5. Step 5: Solve for x
    x = 47,608,726,682.45/232,906.32
  6. Step 6: Final answer
    x = 204,411.48

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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.