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Finding the Fourth Proportional to 147,270.14, 203,241.34 and 110,906.48

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Solution

The fourth proportional to 147,270.14, 203,241.34 and 110,906.48 is: 153,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,270.14 : 203,241.34 = 110,906.48 : x
  2. Step 2: Convert to fraction form
    147,270.14/203,241.34 = 110,906.48/x
  3. Step 3: Cross multiply
    147,270.14x = 203,241.34 × 110,906.48
  4. Step 4: Simplify right side
    147,270.14x = 22,540,781,609.88
  5. Step 5: Solve for x
    x = 22,540,781,609.88/147,270.14
  6. Step 6: Final answer
    x = 153,057.38

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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.