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Finding the Fourth Proportional to 199,206.66, 274,905.20 and 109,782.66

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Solution

The fourth proportional to 199,206.66, 274,905.20 and 109,782.66 is: 151,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,206.66 : 274,905.20 = 109,782.66 : x
  2. Step 2: Convert to fraction form
    199,206.66/274,905.20 = 109,782.66/x
  3. Step 3: Cross multiply
    199,206.66x = 274,905.20 × 109,782.66
  4. Step 4: Simplify right side
    199,206.66x = 30,179,823,554.92
  5. Step 5: Solve for x
    x = 30,179,823,554.92/199,206.66
  6. Step 6: Final answer
    x = 151,500.07

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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.