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Finding the Fourth Proportional to 199,216.38, 274,907.88 and 114,327.84

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Solution

The fourth proportional to 199,216.38, 274,907.88 and 114,327.84 is: 157,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,216.38 : 274,907.88 = 114,327.84 : x
  2. Step 2: Convert to fraction form
    199,216.38/274,907.88 = 114,327.84/x
  3. Step 3: Cross multiply
    199,216.38x = 274,907.88 × 114,327.84
  4. Step 4: Simplify right side
    199,216.38x = 31,429,624,119.38
  5. Step 5: Solve for x
    x = 31,429,624,119.38/199,216.38
  6. Step 6: Final answer
    x = 157,766.26

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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.