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Finding the Fourth Proportional to 203,962, 281,467.56 and 114,538

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Solution

The fourth proportional to 203,962, 281,467.56 and 114,538 is: 158,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,962 : 281,467.56 = 114,538 : x
  2. Step 2: Convert to fraction form
    203,962/281,467.56 = 114,538/x
  3. Step 3: Cross multiply
    203,962x = 281,467.56 × 114,538
  4. Step 4: Simplify right side
    203,962x = 32,238,731,387.28
  5. Step 5: Solve for x
    x = 32,238,731,387.28/203,962
  6. Step 6: Final answer
    x = 158,062.44

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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.