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Finding the Fourth Proportional to 259,294, 388,941 and 84,190

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Solution

The fourth proportional to 259,294, 388,941 and 84,190 is: 126,285

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,294 : 388,941 = 84,190 : x
  2. Step 2: Convert to fraction form
    259,294/388,941 = 84,190/x
  3. Step 3: Cross multiply
    259,294x = 388,941 × 84,190
  4. Step 4: Simplify right side
    259,294x = 32,744,942,790
  5. Step 5: Solve for x
    x = 32,744,942,790/259,294
  6. Step 6: Final answer
    x = 126,285

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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.