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Finding the Fourth Proportional to 205,241.76, 283,233.24 and 120,358.08

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Solution

The fourth proportional to 205,241.76, 283,233.24 and 120,358.08 is: 166,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,241.76 : 283,233.24 = 120,358.08 : x
  2. Step 2: Convert to fraction form
    205,241.76/283,233.24 = 120,358.08/x
  3. Step 3: Cross multiply
    205,241.76x = 283,233.24 × 120,358.08
  4. Step 4: Simplify right side
    205,241.76x = 34,089,408,958.58
  5. Step 5: Solve for x
    x = 34,089,408,958.58/205,241.76
  6. Step 6: Final answer
    x = 166,093.92

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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.