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Finding the Fourth Proportional to 259,361.73, 357,912.05 and 144,643.86

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Solution

The fourth proportional to 259,361.73, 357,912.05 and 144,643.86 is: 199,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,361.73 : 357,912.05 = 144,643.86 : x
  2. Step 2: Convert to fraction form
    259,361.73/357,912.05 = 144,643.86/x
  3. Step 3: Cross multiply
    259,361.73x = 357,912.05 × 144,643.86
  4. Step 4: Simplify right side
    259,361.73x = 51,769,778,662.95
  5. Step 5: Solve for x
    x = 51,769,778,662.95/259,361.73
  6. Step 6: Final answer
    x = 199,604.54

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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.