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Finding the Fourth Proportional to 263,029.84, 394,603.22 and 122,711.92

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Solution

The fourth proportional to 263,029.84, 394,603.22 and 122,711.92 is: 184,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,029.84 : 394,603.22 = 122,711.92 : x
  2. Step 2: Convert to fraction form
    263,029.84/394,603.22 = 122,711.92/x
  3. Step 3: Cross multiply
    263,029.84x = 394,603.22 × 122,711.92
  4. Step 4: Simplify right side
    263,029.84x = 48,422,518,084.65
  5. Step 5: Solve for x
    x = 48,422,518,084.65/263,029.84
  6. Step 6: Final answer
    x = 184,095.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.