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Finding the Fourth Proportional to 232,728.24, 321,354.36 and 189,714.48

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Solution

The fourth proportional to 232,728.24, 321,354.36 and 189,714.48 is: 261,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,728.24 : 321,354.36 = 189,714.48 : x
  2. Step 2: Convert to fraction form
    232,728.24/321,354.36 = 189,714.48/x
  3. Step 3: Cross multiply
    232,728.24x = 321,354.36 × 189,714.48
  4. Step 4: Simplify right side
    232,728.24x = 60,965,575,303.13
  5. Step 5: Solve for x
    x = 60,965,575,303.13/232,728.24
  6. Step 6: Final answer
    x = 261,960.37

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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.