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Finding the Fourth Proportional to 199,404.99, 299,019.87 and 74,658.51

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Solution

The fourth proportional to 199,404.99, 299,019.87 and 74,658.51 is: 111,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,404.99 : 299,019.87 = 74,658.51 : x
  2. Step 2: Convert to fraction form
    199,404.99/299,019.87 = 74,658.51/x
  3. Step 3: Cross multiply
    199,404.99x = 299,019.87 × 74,658.51
  4. Step 4: Simplify right side
    199,404.99x = 22,324,377,954.59
  5. Step 5: Solve for x
    x = 22,324,377,954.59/199,404.99
  6. Step 6: Final answer
    x = 111,954.96

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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.