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Finding the Fourth Proportional to 203,892.29, 281,374.83 and 112,015.44

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Solution

The fourth proportional to 203,892.29, 281,374.83 and 112,015.44 is: 154,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,892.29 : 281,374.83 = 112,015.44 : x
  2. Step 2: Convert to fraction form
    203,892.29/281,374.83 = 112,015.44/x
  3. Step 3: Cross multiply
    203,892.29x = 281,374.83 × 112,015.44
  4. Step 4: Simplify right side
    203,892.29x = 31,518,325,387.38
  5. Step 5: Solve for x
    x = 31,518,325,387.38/203,892.29
  6. Step 6: Final answer
    x = 154,583.21

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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.