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Finding the Fourth Proportional to 199,201.41, 274,897.94 and 109,777.41

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Solution

The fourth proportional to 199,201.41, 274,897.94 and 109,777.41 is: 151,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,201.41 : 274,897.94 = 109,777.41 : x
  2. Step 2: Convert to fraction form
    199,201.41/274,897.94 = 109,777.41/x
  3. Step 3: Cross multiply
    199,201.41x = 274,897.94 × 109,777.41
  4. Step 4: Simplify right side
    199,201.41x = 30,177,583,318.65
  5. Step 5: Solve for x
    x = 30,177,583,318.65/199,201.41
  6. Step 6: Final answer
    x = 151,492.82

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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.