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Finding the Fourth Proportional to 207,898.89, 311,845.59 and 50,126.07

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Solution

The fourth proportional to 207,898.89, 311,845.59 and 50,126.07 is: 75,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,898.89 : 311,845.59 = 50,126.07 : x
  2. Step 2: Convert to fraction form
    207,898.89/311,845.59 = 50,126.07/x
  3. Step 3: Cross multiply
    207,898.89x = 311,845.59 × 50,126.07
  4. Step 4: Simplify right side
    207,898.89x = 15,631,593,873.53
  5. Step 5: Solve for x
    x = 15,631,593,873.53/207,898.89
  6. Step 6: Final answer
    x = 75,188.44

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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.