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Finding the Fourth Proportional to 208,434.06, 312,745.41 and 82,039.50

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Solution

The fourth proportional to 208,434.06, 312,745.41 and 82,039.50 is: 123,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,434.06 : 312,745.41 = 82,039.50 : x
  2. Step 2: Convert to fraction form
    208,434.06/312,745.41 = 82,039.50/x
  3. Step 3: Cross multiply
    208,434.06x = 312,745.41 × 82,039.50
  4. Step 4: Simplify right side
    208,434.06x = 25,657,477,063.70
  5. Step 5: Solve for x
    x = 25,657,477,063.70/208,434.06
  6. Step 6: Final answer
    x = 123,096.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.