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Finding the Fourth Proportional to 259,361.98, 357,912.39 and 144,644.11

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Solution

The fourth proportional to 259,361.98, 357,912.39 and 144,644.11 is: 199,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,361.98 : 357,912.39 = 144,644.11 : x
  2. Step 2: Convert to fraction form
    259,361.98/357,912.39 = 144,644.11/x
  3. Step 3: Cross multiply
    259,361.98x = 357,912.39 × 144,644.11
  4. Step 4: Simplify right side
    259,361.98x = 51,769,917,319.96
  5. Step 5: Solve for x
    x = 51,769,917,319.96/259,361.98
  6. Step 6: Final answer
    x = 199,604.89

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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.