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Finding the Fourth Proportional to 203,922.96, 281,458.64 and 113,310

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Solution

The fourth proportional to 203,922.96, 281,458.64 and 113,310 is: 156,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,922.96 : 281,458.64 = 113,310 : x
  2. Step 2: Convert to fraction form
    203,922.96/281,458.64 = 113,310/x
  3. Step 3: Cross multiply
    203,922.96x = 281,458.64 × 113,310
  4. Step 4: Simplify right side
    203,922.96x = 31,892,078,498.40
  5. Step 5: Solve for x
    x = 31,892,078,498.40/203,922.96
  6. Step 6: Final answer
    x = 156,392.78

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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.