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Finding the Fourth Proportional to 259,604.60, 389,421.07 and 82,098.36

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Solution

The fourth proportional to 259,604.60, 389,421.07 and 82,098.36 is: 123,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,604.60 : 389,421.07 = 82,098.36 : x
  2. Step 2: Convert to fraction form
    259,604.60/389,421.07 = 82,098.36/x
  3. Step 3: Cross multiply
    259,604.60x = 389,421.07 × 82,098.36
  4. Step 4: Simplify right side
    259,604.60x = 31,970,830,991.20
  5. Step 5: Solve for x
    x = 31,970,830,991.20/259,604.60
  6. Step 6: Final answer
    x = 123,152.02

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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.