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Finding the Fourth Proportional to 258,096.38, 356,229.96 and 143,414.45

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Solution

The fourth proportional to 258,096.38, 356,229.96 and 143,414.45 is: 197,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,096.38 : 356,229.96 = 143,414.45 : x
  2. Step 2: Convert to fraction form
    258,096.38/356,229.96 = 143,414.45/x
  3. Step 3: Cross multiply
    258,096.38x = 356,229.96 × 143,414.45
  4. Step 4: Simplify right side
    258,096.38x = 51,088,522,005.77
  5. Step 5: Solve for x
    x = 51,088,522,005.77/258,096.38
  6. Step 6: Final answer
    x = 197,943.59

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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.