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Finding the Fourth Proportional to 235,209.72, 324,591.66 and 127,780.56

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Solution

The fourth proportional to 235,209.72, 324,591.66 and 127,780.56 is: 176,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,209.72 : 324,591.66 = 127,780.56 : x
  2. Step 2: Convert to fraction form
    235,209.72/324,591.66 = 127,780.56/x
  3. Step 3: Cross multiply
    235,209.72x = 324,591.66 × 127,780.56
  4. Step 4: Simplify right side
    235,209.72x = 41,476,504,086.13
  5. Step 5: Solve for x
    x = 41,476,504,086.13/235,209.72
  6. Step 6: Final answer
    x = 176,338.39

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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.