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Finding the Fourth Proportional to 203,881.44, 281,356.38 and 114,457.44

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Solution

The fourth proportional to 203,881.44, 281,356.38 and 114,457.44 is: 157,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,881.44 : 281,356.38 = 114,457.44 : x
  2. Step 2: Convert to fraction form
    203,881.44/281,356.38 = 114,457.44/x
  3. Step 3: Cross multiply
    203,881.44x = 281,356.38 × 114,457.44
  4. Step 4: Simplify right side
    203,881.44x = 32,203,330,708.29
  5. Step 5: Solve for x
    x = 32,203,330,708.29/203,881.44
  6. Step 6: Final answer
    x = 157,951.26

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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.