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Finding the Fourth Proportional to 222,262.38, 306,738.36 and 126,771.48

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Solution

The fourth proportional to 222,262.38, 306,738.36 and 126,771.48 is: 174,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,262.38 : 306,738.36 = 126,771.48 : x
  2. Step 2: Convert to fraction form
    222,262.38/306,738.36 = 126,771.48/x
  3. Step 3: Cross multiply
    222,262.38x = 306,738.36 × 126,771.48
  4. Step 4: Simplify right side
    222,262.38x = 38,885,675,869.97
  5. Step 5: Solve for x
    x = 38,885,675,869.97/222,262.38
  6. Step 6: Final answer
    x = 174,953.93

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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.