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Finding the Fourth Proportional to 199,908.06, 299,911.26 and 140,859.06

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Solution

The fourth proportional to 199,908.06, 299,911.26 and 140,859.06 is: 211,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,908.06 : 299,911.26 = 140,859.06 : x
  2. Step 2: Convert to fraction form
    199,908.06/299,911.26 = 140,859.06/x
  3. Step 3: Cross multiply
    199,908.06x = 299,911.26 × 140,859.06
  4. Step 4: Simplify right side
    199,908.06x = 42,245,218,167.02
  5. Step 5: Solve for x
    x = 42,245,218,167.02/199,908.06
  6. Step 6: Final answer
    x = 211,323.24

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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.