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Finding the Fourth Proportional to 312,230.86, 468,395.07 and 101,819.86

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Solution

The fourth proportional to 312,230.86, 468,395.07 and 101,819.86 is: 152,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,230.86 : 468,395.07 = 101,819.86 : x
  2. Step 2: Convert to fraction form
    312,230.86/468,395.07 = 101,819.86/x
  3. Step 3: Cross multiply
    312,230.86x = 468,395.07 × 101,819.86
  4. Step 4: Simplify right side
    312,230.86x = 47,691,920,452.09
  5. Step 5: Solve for x
    x = 47,691,920,452.09/312,230.86
  6. Step 6: Final answer
    x = 152,745.70

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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.