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Finding the Fourth Proportional to 207,709.56, 311,564.20 and 49,937.96

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Solution

The fourth proportional to 207,709.56, 311,564.20 and 49,937.96 is: 74,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,709.56 : 311,564.20 = 49,937.96 : x
  2. Step 2: Convert to fraction form
    207,709.56/311,564.20 = 49,937.96/x
  3. Step 3: Cross multiply
    207,709.56x = 311,564.20 × 49,937.96
  4. Step 4: Simplify right side
    207,709.56x = 15,558,880,557.03
  5. Step 5: Solve for x
    x = 15,558,880,557.03/207,709.56
  6. Step 6: Final answer
    x = 74,906.91

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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.