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Finding the Fourth Proportional to 199,207.41, 274,906.23 and 109,783.41

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Solution

The fourth proportional to 199,207.41, 274,906.23 and 109,783.41 is: 151,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,207.41 : 274,906.23 = 109,783.41 : x
  2. Step 2: Convert to fraction form
    199,207.41/274,906.23 = 109,783.41/x
  3. Step 3: Cross multiply
    199,207.41x = 274,906.23 × 109,783.41
  4. Step 4: Simplify right side
    199,207.41x = 30,180,143,359.64
  5. Step 5: Solve for x
    x = 30,180,143,359.64/199,207.41
  6. Step 6: Final answer
    x = 151,501.11

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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.