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Finding the Fourth Proportional to 232,871.32, 321,174.44 and 156,367.36

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Solution

The fourth proportional to 232,871.32, 321,174.44 and 156,367.36 is: 215,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,871.32 : 321,174.44 = 156,367.36 : x
  2. Step 2: Convert to fraction form
    232,871.32/321,174.44 = 156,367.36/x
  3. Step 3: Cross multiply
    232,871.32x = 321,174.44 × 156,367.36
  4. Step 4: Simplify right side
    232,871.32x = 50,221,199,282.28
  5. Step 5: Solve for x
    x = 50,221,199,282.28/232,871.32
  6. Step 6: Final answer
    x = 215,660.73

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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.