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Finding the Fourth Proportional to 259,848, 389,783.34 and 82,368.09

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Solution

The fourth proportional to 259,848, 389,783.34 and 82,368.09 is: 123,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,848 : 389,783.34 = 82,368.09 : x
  2. Step 2: Convert to fraction form
    259,848/389,783.34 = 82,368.09/x
  3. Step 3: Cross multiply
    259,848x = 389,783.34 × 82,368.09
  4. Step 4: Simplify right side
    259,848x = 32,105,709,229.62
  5. Step 5: Solve for x
    x = 32,105,709,229.62/259,848
  6. Step 6: Final answer
    x = 123,555.73

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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.