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Finding the Fourth Proportional to 229,277.44, 343,735.26 and 144,859.69

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Solution

The fourth proportional to 229,277.44, 343,735.26 and 144,859.69 is: 217,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,277.44 : 343,735.26 = 144,859.69 : x
  2. Step 2: Convert to fraction form
    229,277.44/343,735.26 = 144,859.69/x
  3. Step 3: Cross multiply
    229,277.44x = 343,735.26 × 144,859.69
  4. Step 4: Simplify right side
    229,277.44x = 49,793,383,906.95
  5. Step 5: Solve for x
    x = 49,793,383,906.95/229,277.44
  6. Step 6: Final answer
    x = 217,175.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.