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Finding the Fourth Proportional to 309,255.81, 426,765.78 and 181,939.59

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Solution

The fourth proportional to 309,255.81, 426,765.78 and 181,939.59 is: 251,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,255.81 : 426,765.78 = 181,939.59 : x
  2. Step 2: Convert to fraction form
    309,255.81/426,765.78 = 181,939.59/x
  3. Step 3: Cross multiply
    309,255.81x = 426,765.78 × 181,939.59
  4. Step 4: Simplify right side
    309,255.81x = 77,645,591,039.23
  5. Step 5: Solve for x
    x = 77,645,591,039.23/309,255.81
  6. Step 6: Final answer
    x = 251,072.38

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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.