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Finding the Fourth Proportional to 208,466.44, 312,695.34 and 50,695.72

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Solution

The fourth proportional to 208,466.44, 312,695.34 and 50,695.72 is: 76,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,466.44 : 312,695.34 = 50,695.72 : x
  2. Step 2: Convert to fraction form
    208,466.44/312,695.34 = 50,695.72/x
  3. Step 3: Cross multiply
    208,466.44x = 312,695.34 × 50,695.72
  4. Step 4: Simplify right side
    208,466.44x = 15,852,315,401.94
  5. Step 5: Solve for x
    x = 15,852,315,401.94/208,466.44
  6. Step 6: Final answer
    x = 76,042.53

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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.