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Finding the Fourth Proportional to 259,886.45, 389,843.50 and 82,407.45

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Solution

The fourth proportional to 259,886.45, 389,843.50 and 82,407.45 is: 123,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,886.45 : 389,843.50 = 82,407.45 : x
  2. Step 2: Convert to fraction form
    259,886.45/389,843.50 = 82,407.45/x
  3. Step 3: Cross multiply
    259,886.45x = 389,843.50 × 82,407.45
  4. Step 4: Simplify right side
    259,886.45x = 32,126,008,528.06
  5. Step 5: Solve for x
    x = 32,126,008,528.06/259,886.45
  6. Step 6: Final answer
    x = 123,615.56

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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.