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Finding the Fourth Proportional to 209,778.28, 289,461.54 and 120,337

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Solution

The fourth proportional to 209,778.28, 289,461.54 and 120,337 is: 166,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,778.28 : 289,461.54 = 120,337 : x
  2. Step 2: Convert to fraction form
    209,778.28/289,461.54 = 120,337/x
  3. Step 3: Cross multiply
    209,778.28x = 289,461.54 × 120,337
  4. Step 4: Simplify right side
    209,778.28x = 34,832,933,338.98
  5. Step 5: Solve for x
    x = 34,832,933,338.98/209,778.28
  6. Step 6: Final answer
    x = 166,046.42

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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.