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Finding the Fourth Proportional to 199,615.84, 275,469.84 and 114,749.44

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Solution

The fourth proportional to 199,615.84, 275,469.84 and 114,749.44 is: 158,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.84 : 275,469.84 = 114,749.44 : x
  2. Step 2: Convert to fraction form
    199,615.84/275,469.84 = 114,749.44/x
  3. Step 3: Cross multiply
    199,615.84x = 275,469.84 × 114,749.44
  4. Step 4: Simplify right side
    199,615.84x = 31,610,009,876.89
  5. Step 5: Solve for x
    x = 31,610,009,876.89/199,615.84
  6. Step 6: Final answer
    x = 158,354.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.