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Finding the Fourth Proportional to 208,370.72, 312,553.78 and 50,599.32

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Solution

The fourth proportional to 208,370.72, 312,553.78 and 50,599.32 is: 75,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,370.72 : 312,553.78 = 50,599.32 : x
  2. Step 2: Convert to fraction form
    208,370.72/312,553.78 = 50,599.32/x
  3. Step 3: Cross multiply
    208,370.72x = 312,553.78 × 50,599.32
  4. Step 4: Simplify right side
    208,370.72x = 15,815,008,731.43
  5. Step 5: Solve for x
    x = 15,815,008,731.43/208,370.72
  6. Step 6: Final answer
    x = 75,898.42

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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.