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Finding the Fourth Proportional to 222,287.96, 306,754.29 and 126,796.25

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Solution

The fourth proportional to 222,287.96, 306,754.29 and 126,796.25 is: 174,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,287.96 : 306,754.29 = 126,796.25 : x
  2. Step 2: Convert to fraction form
    222,287.96/306,754.29 = 126,796.25/x
  3. Step 3: Cross multiply
    222,287.96x = 306,754.29 × 126,796.25
  4. Step 4: Simplify right side
    222,287.96x = 38,895,294,410.30
  5. Step 5: Solve for x
    x = 38,895,294,410.30/222,287.96
  6. Step 6: Final answer
    x = 174,977.06

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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.