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Finding the Fourth Proportional to 259,298, 388,947 and 84,194

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Solution

The fourth proportional to 259,298, 388,947 and 84,194 is: 126,291

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,298 : 388,947 = 84,194 : x
  2. Step 2: Convert to fraction form
    259,298/388,947 = 84,194/x
  3. Step 3: Cross multiply
    259,298x = 388,947 × 84,194
  4. Step 4: Simplify right side
    259,298x = 32,747,003,718
  5. Step 5: Solve for x
    x = 32,747,003,718/259,298
  6. Step 6: Final answer
    x = 126,291

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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.