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Finding the Fourth Proportional to 222,302.82, 306,749.30 and 126,803.82

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Solution

The fourth proportional to 222,302.82, 306,749.30 and 126,803.82 is: 174,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,302.82 : 306,749.30 = 126,803.82 : x
  2. Step 2: Convert to fraction form
    222,302.82/306,749.30 = 126,803.82/x
  3. Step 3: Cross multiply
    222,302.82x = 306,749.30 × 126,803.82
  4. Step 4: Simplify right side
    222,302.82x = 38,896,982,388.31
  5. Step 5: Solve for x
    x = 38,896,982,388.31/222,302.82
  6. Step 6: Final answer
    x = 174,972.96

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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.