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Finding the Fourth Proportional to 199,393.82, 299,089.19 and 49,633.09

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Solution

The fourth proportional to 199,393.82, 299,089.19 and 49,633.09 is: 74,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,393.82 : 299,089.19 = 49,633.09 : x
  2. Step 2: Convert to fraction form
    199,393.82/299,089.19 = 49,633.09/x
  3. Step 3: Cross multiply
    199,393.82x = 299,089.19 × 49,633.09
  4. Step 4: Simplify right side
    199,393.82x = 14,844,720,061.66
  5. Step 5: Solve for x
    x = 14,844,720,061.66/199,393.82
  6. Step 6: Final answer
    x = 74,449.25

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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.