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Finding the Fourth Proportional to 205,994.26, 308,913.63 and 95,108.50

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Solution

The fourth proportional to 205,994.26, 308,913.63 and 95,108.50 is: 142,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,994.26 : 308,913.63 = 95,108.50 : x
  2. Step 2: Convert to fraction form
    205,994.26/308,913.63 = 95,108.50/x
  3. Step 3: Cross multiply
    205,994.26x = 308,913.63 × 95,108.50
  4. Step 4: Simplify right side
    205,994.26x = 29,380,311,978.86
  5. Step 5: Solve for x
    x = 29,380,311,978.86/205,994.26
  6. Step 6: Final answer
    x = 142,626.85

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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.