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Finding the Fourth Proportional to 208,615.22, 312,840.94 and 73,650.48

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Solution

The fourth proportional to 208,615.22, 312,840.94 and 73,650.48 is: 110,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,615.22 : 312,840.94 = 73,650.48 : x
  2. Step 2: Convert to fraction form
    208,615.22/312,840.94 = 73,650.48/x
  3. Step 3: Cross multiply
    208,615.22x = 312,840.94 × 73,650.48
  4. Step 4: Simplify right side
    208,615.22x = 23,040,885,992.63
  5. Step 5: Solve for x
    x = 23,040,885,992.63/208,615.22
  6. Step 6: Final answer
    x = 110,446.81

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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.