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Finding the Fourth Proportional to 203,876.76, 281,351.70 and 118,977.24

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Solution

The fourth proportional to 203,876.76, 281,351.70 and 118,977.24 is: 164,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,876.76 : 281,351.70 = 118,977.24 : x
  2. Step 2: Convert to fraction form
    203,876.76/281,351.70 = 118,977.24/x
  3. Step 3: Cross multiply
    203,876.76x = 281,351.70 × 118,977.24
  4. Step 4: Simplify right side
    203,876.76x = 33,474,448,735.31
  5. Step 5: Solve for x
    x = 33,474,448,735.31/203,876.76
  6. Step 6: Final answer
    x = 164,189.62

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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.