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Finding the Fourth Proportional to 147,144, 203,058.72 and 80,076.48

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Solution

The fourth proportional to 147,144, 203,058.72 and 80,076.48 is: 110,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,144 : 203,058.72 = 80,076.48 : x
  2. Step 2: Convert to fraction form
    147,144/203,058.72 = 80,076.48/x
  3. Step 3: Cross multiply
    147,144x = 203,058.72 × 80,076.48
  4. Step 4: Simplify right side
    147,144x = 16,260,227,530.91
  5. Step 5: Solve for x
    x = 16,260,227,530.91/147,144
  6. Step 6: Final answer
    x = 110,505.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.