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Finding the Fourth Proportional to 203,091, 280,265.64 and 113,667

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Solution

The fourth proportional to 203,091, 280,265.64 and 113,667 is: 156,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,091 : 280,265.64 = 113,667 : x
  2. Step 2: Convert to fraction form
    203,091/280,265.64 = 113,667/x
  3. Step 3: Cross multiply
    203,091x = 280,265.64 × 113,667
  4. Step 4: Simplify right side
    203,091x = 31,856,954,501.88
  5. Step 5: Solve for x
    x = 31,856,954,501.88/203,091
  6. Step 6: Final answer
    x = 156,860.49

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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.