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Finding the Fourth Proportional to 232,726, 321,192 and 142,062.96

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Solution

The fourth proportional to 232,726, 321,192 and 142,062.96 is: 196,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,726 : 321,192 = 142,062.96 : x
  2. Step 2: Convert to fraction form
    232,726/321,192 = 142,062.96/x
  3. Step 3: Cross multiply
    232,726x = 321,192 × 142,062.96
  4. Step 4: Simplify right side
    232,726x = 45,629,486,248.32
  5. Step 5: Solve for x
    x = 45,629,486,248.32/232,726
  6. Step 6: Final answer
    x = 196,065.27

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Why These Related Problems?

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