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Finding the Fourth Proportional to 289,737.20, 434,022.60 and 201,090.80

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Solution

The fourth proportional to 289,737.20, 434,022.60 and 201,090.80 is: 301,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,737.20 : 434,022.60 = 201,090.80 : x
  2. Step 2: Convert to fraction form
    289,737.20/434,022.60 = 201,090.80/x
  3. Step 3: Cross multiply
    289,737.20x = 434,022.60 × 201,090.80
  4. Step 4: Simplify right side
    289,737.20x = 87,277,951,852.08
  5. Step 5: Solve for x
    x = 87,277,951,852.08/289,737.20
  6. Step 6: Final answer
    x = 301,231.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.