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Finding the Fourth Proportional to 205,234.21, 307,861.70 and 78,830.14

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Solution

The fourth proportional to 205,234.21, 307,861.70 and 78,830.14 is: 118,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,234.21 : 307,861.70 = 78,830.14 : x
  2. Step 2: Convert to fraction form
    205,234.21/307,861.70 = 78,830.14/x
  3. Step 3: Cross multiply
    205,234.21x = 307,861.70 × 78,830.14
  4. Step 4: Simplify right side
    205,234.21x = 24,268,780,902.31
  5. Step 5: Solve for x
    x = 24,268,780,902.31/205,234.21
  6. Step 6: Final answer
    x = 118,249.20

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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.