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Finding the Fourth Proportional to 100,109,250, 138,150,765 and 54,324,162

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Solution

The fourth proportional to 100,109,250, 138,150,765 and 54,324,162 is: 74,967,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,109,250 : 138,150,765 = 54,324,162 : x
  2. Step 2: Convert to fraction form
    100,109,250/138,150,765 = 54,324,162/x
  3. Step 3: Cross multiply
    100,109,250x = 138,150,765 × 54,324,162
  4. Step 4: Simplify right side
    100,109,250x = 7,504,924,538,283,930
  5. Step 5: Solve for x
    x = 7,504,924,538,283,930/100,109,250
  6. Step 6: Final answer
    x = 74,967,343.56

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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.