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Finding the Fourth Proportional to 203,796.70, 281,272.92 and 118,913.56

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Solution

The fourth proportional to 203,796.70, 281,272.92 and 118,913.56 is: 164,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,796.70 : 281,272.92 = 118,913.56 : x
  2. Step 2: Convert to fraction form
    203,796.70/281,272.92 = 118,913.56/x
  3. Step 3: Cross multiply
    203,796.70x = 281,272.92 × 118,913.56
  4. Step 4: Simplify right side
    203,796.70x = 33,447,164,248.80
  5. Step 5: Solve for x
    x = 33,447,164,248.80/203,796.70
  6. Step 6: Final answer
    x = 164,120.24

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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.