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Finding the Fourth Proportional to 208,004.56, 312,006.15 and 50,233

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Solution

The fourth proportional to 208,004.56, 312,006.15 and 50,233 is: 75,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,004.56 : 312,006.15 = 50,233 : x
  2. Step 2: Convert to fraction form
    208,004.56/312,006.15 = 50,233/x
  3. Step 3: Cross multiply
    208,004.56x = 312,006.15 × 50,233
  4. Step 4: Simplify right side
    208,004.56x = 15,673,004,932.95
  5. Step 5: Solve for x
    x = 15,673,004,932.95/208,004.56
  6. Step 6: Final answer
    x = 75,349.33

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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.