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Finding the Fourth Proportional to 150,005.44, 207,005.76 and 82,936

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Solution

The fourth proportional to 150,005.44, 207,005.76 and 82,936 is: 114,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,005.44 : 207,005.76 = 82,936 : x
  2. Step 2: Convert to fraction form
    150,005.44/207,005.76 = 82,936/x
  3. Step 3: Cross multiply
    150,005.44x = 207,005.76 × 82,936
  4. Step 4: Simplify right side
    150,005.44x = 17,168,229,711.36
  5. Step 5: Solve for x
    x = 17,168,229,711.36/150,005.44
  6. Step 6: Final answer
    x = 114,450.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.