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Finding the Fourth Proportional to 232,976, 321,507.24 and 132,393.44

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Solution

The fourth proportional to 232,976, 321,507.24 and 132,393.44 is: 182,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,976 : 321,507.24 = 132,393.44 : x
  2. Step 2: Convert to fraction form
    232,976/321,507.24 = 132,393.44/x
  3. Step 3: Cross multiply
    232,976x = 321,507.24 × 132,393.44
  4. Step 4: Simplify right side
    232,976x = 42,565,449,488.51
  5. Step 5: Solve for x
    x = 42,565,449,488.51/232,976
  6. Step 6: Final answer
    x = 182,703.15

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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.