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Finding the Fourth Proportional to 203,852.69, 305,834.42 and 70,743.33

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Solution

The fourth proportional to 203,852.69, 305,834.42 and 70,743.33 is: 106,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,852.69 : 305,834.42 = 70,743.33 : x
  2. Step 2: Convert to fraction form
    203,852.69/305,834.42 = 70,743.33/x
  3. Step 3: Cross multiply
    203,852.69x = 305,834.42 × 70,743.33
  4. Step 4: Simplify right side
    203,852.69x = 21,635,744,945.70
  5. Step 5: Solve for x
    x = 21,635,744,945.70/203,852.69
  6. Step 6: Final answer
    x = 106,134.21

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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.