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Finding the Fourth Proportional to 199,176.85, 274,844.37 and 117,503.38

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Solution

The fourth proportional to 199,176.85, 274,844.37 and 117,503.38 is: 162,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,176.85 : 274,844.37 = 117,503.38 : x
  2. Step 2: Convert to fraction form
    199,176.85/274,844.37 = 117,503.38/x
  3. Step 3: Cross multiply
    199,176.85x = 274,844.37 × 117,503.38
  4. Step 4: Simplify right side
    199,176.85x = 32,295,142,448.97
  5. Step 5: Solve for x
    x = 32,295,142,448.97/199,176.85
  6. Step 6: Final answer
    x = 162,143.05

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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.