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Finding the Fourth Proportional to 207,861.40, 311,792.10 and 205,096.60

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Solution

The fourth proportional to 207,861.40, 311,792.10 and 205,096.60 is: 307,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,861.40 : 311,792.10 = 205,096.60 : x
  2. Step 2: Convert to fraction form
    207,861.40/311,792.10 = 205,096.60/x
  3. Step 3: Cross multiply
    207,861.40x = 311,792.10 × 205,096.60
  4. Step 4: Simplify right side
    207,861.40x = 63,947,499,616.86
  5. Step 5: Solve for x
    x = 63,947,499,616.86/207,861.40
  6. Step 6: Final answer
    x = 307,644.90

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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.