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Finding the Fourth Proportional to 259,248, 388,872 and 84,144

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Solution

The fourth proportional to 259,248, 388,872 and 84,144 is: 126,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,248 : 388,872 = 84,144 : x
  2. Step 2: Convert to fraction form
    259,248/388,872 = 84,144/x
  3. Step 3: Cross multiply
    259,248x = 388,872 × 84,144
  4. Step 4: Simplify right side
    259,248x = 32,721,245,568
  5. Step 5: Solve for x
    x = 32,721,245,568/259,248
  6. Step 6: Final answer
    x = 126,216

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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.