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Finding the Fourth Proportional to 199,615.82, 274,770.60 and 174,077.12

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Solution

The fourth proportional to 199,615.82, 274,770.60 and 174,077.12 is: 239,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615.82 : 274,770.60 = 174,077.12 : x
  2. Step 2: Convert to fraction form
    199,615.82/274,770.60 = 174,077.12/x
  3. Step 3: Cross multiply
    199,615.82x = 274,770.60 × 174,077.12
  4. Step 4: Simplify right side
    199,615.82x = 47,831,273,334.82
  5. Step 5: Solve for x
    x = 47,831,273,334.82/199,615.82
  6. Step 6: Final answer
    x = 239,616.65

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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.