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Finding the Fourth Proportional to 199,177.86, 274,845.74 and 117,504.38

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Solution

The fourth proportional to 199,177.86, 274,845.74 and 117,504.38 is: 162,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,177.86 : 274,845.74 = 117,504.38 : x
  2. Step 2: Convert to fraction form
    199,177.86/274,845.74 = 117,504.38/x
  3. Step 3: Cross multiply
    199,177.86x = 274,845.74 × 117,504.38
  4. Step 4: Simplify right side
    199,177.86x = 32,295,578,274.34
  5. Step 5: Solve for x
    x = 32,295,578,274.34/199,177.86
  6. Step 6: Final answer
    x = 162,144.42

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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.