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Finding the Fourth Proportional to 289,231.23, 433,745.23 and 86,766.97

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Solution

The fourth proportional to 289,231.23, 433,745.23 and 86,766.97 is: 130,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,231.23 : 433,745.23 = 86,766.97 : x
  2. Step 2: Convert to fraction form
    289,231.23/433,745.23 = 86,766.97/x
  3. Step 3: Cross multiply
    289,231.23x = 433,745.23 × 86,766.97
  4. Step 4: Simplify right side
    289,231.23x = 37,634,759,359.05
  5. Step 5: Solve for x
    x = 37,634,759,359.05/289,231.23
  6. Step 6: Final answer
    x = 130,119.97

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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.