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Finding the Fourth Proportional to 203,892.85, 281,374.05 and 118,993.51

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Solution

The fourth proportional to 203,892.85, 281,374.05 and 118,993.51 is: 164,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892.85 : 281,374.05 = 118,993.51 : x
  2. Step 2: Convert to fraction form
    203,892.85/281,374.05 = 118,993.51/x
  3. Step 3: Cross multiply
    203,892.85x = 281,374.05 × 118,993.51
  4. Step 4: Simplify right side
    203,892.85x = 33,481,685,832.42
  5. Step 5: Solve for x
    x = 33,481,685,832.42/203,892.85
  6. Step 6: Final answer
    x = 164,212.16

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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.