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Finding the Fourth Proportional to 203,970, 281,496.24 and 113,324.32

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Solution

The fourth proportional to 203,970, 281,496.24 and 113,324.32 is: 156,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,970 : 281,496.24 = 113,324.32 : x
  2. Step 2: Convert to fraction form
    203,970/281,496.24 = 113,324.32/x
  3. Step 3: Cross multiply
    203,970x = 281,496.24 × 113,324.32
  4. Step 4: Simplify right side
    203,970x = 31,900,369,980.56
  5. Step 5: Solve for x
    x = 31,900,369,980.56/203,970
  6. Step 6: Final answer
    x = 156,397.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.