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Finding the Fourth Proportional to 259,968.93, 389,967.23 and 82,489.83

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Solution

The fourth proportional to 259,968.93, 389,967.23 and 82,489.83 is: 123,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,968.93 : 389,967.23 = 82,489.83 : x
  2. Step 2: Convert to fraction form
    259,968.93/389,967.23 = 82,489.83/x
  3. Step 3: Cross multiply
    259,968.93x = 389,967.23 × 82,489.83
  4. Step 4: Simplify right side
    259,968.93x = 32,168,328,145.99
  5. Step 5: Solve for x
    x = 32,168,328,145.99/259,968.93
  6. Step 6: Final answer
    x = 123,739.13

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Why These Related Problems?

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