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Finding the Fourth Proportional to 255,874.30, 383,647.22 and 106,217.89

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Solution

The fourth proportional to 255,874.30, 383,647.22 and 106,217.89 is: 159,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,874.30 : 383,647.22 = 106,217.89 : x
  2. Step 2: Convert to fraction form
    255,874.30/383,647.22 = 106,217.89/x
  3. Step 3: Cross multiply
    255,874.30x = 383,647.22 × 106,217.89
  4. Step 4: Simplify right side
    255,874.30x = 40,750,198,212.77
  5. Step 5: Solve for x
    x = 40,750,198,212.77/255,874.30
  6. Step 6: Final answer
    x = 159,258.66

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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.