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Finding the Fourth Proportional to 206,839.44, 310,326 and 101,584.59

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Solution

The fourth proportional to 206,839.44, 310,326 and 101,584.59 is: 152,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,839.44 : 310,326 = 101,584.59 : x
  2. Step 2: Convert to fraction form
    206,839.44/310,326 = 101,584.59/x
  3. Step 3: Cross multiply
    206,839.44x = 310,326 × 101,584.59
  4. Step 4: Simplify right side
    206,839.44x = 31,524,339,476.34
  5. Step 5: Solve for x
    x = 31,524,339,476.34/206,839.44
  6. Step 6: Final answer
    x = 152,409.71

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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.