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Finding the Fourth Proportional to 199,846.99, 299,978.12 and 133,749.01

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Solution

The fourth proportional to 199,846.99, 299,978.12 and 133,749.01 is: 200,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,846.99 : 299,978.12 = 133,749.01 : x
  2. Step 2: Convert to fraction form
    199,846.99/299,978.12 = 133,749.01/x
  3. Step 3: Cross multiply
    199,846.99x = 299,978.12 × 133,749.01
  4. Step 4: Simplify right side
    199,846.99x = 40,121,776,571.66
  5. Step 5: Solve for x
    x = 40,121,776,571.66/199,846.99
  6. Step 6: Final answer
    x = 200,762.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.