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Finding the Fourth Proportional to 255,823.94, 383,571.84 and 106,167.54

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Solution

The fourth proportional to 255,823.94, 383,571.84 and 106,167.54 is: 159,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,823.94 : 383,571.84 = 106,167.54 : x
  2. Step 2: Convert to fraction form
    255,823.94/383,571.84 = 106,167.54/x
  3. Step 3: Cross multiply
    255,823.94x = 383,571.84 × 106,167.54
  4. Step 4: Simplify right side
    255,823.94x = 40,722,878,666.07
  5. Step 5: Solve for x
    x = 40,722,878,666.07/255,823.94
  6. Step 6: Final answer
    x = 159,183.22

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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.