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Finding the Fourth Proportional to 208,245.16, 312,367.74 and 50,473.61

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Solution

The fourth proportional to 208,245.16, 312,367.74 and 50,473.61 is: 75,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,245.16 : 312,367.74 = 50,473.61 : x
  2. Step 2: Convert to fraction form
    208,245.16/312,367.74 = 50,473.61/x
  3. Step 3: Cross multiply
    208,245.16x = 312,367.74 × 50,473.61
  4. Step 4: Simplify right side
    208,245.16x = 15,766,326,578.24
  5. Step 5: Solve for x
    x = 15,766,326,578.24/208,245.16
  6. Step 6: Final answer
    x = 75,710.41

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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.