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Finding the Fourth Proportional to 199,674.68, 299,418.42 and 73,283.36

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Solution

The fourth proportional to 199,674.68, 299,418.42 and 73,283.36 is: 109,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,674.68 : 299,418.42 = 73,283.36 : x
  2. Step 2: Convert to fraction form
    199,674.68/299,418.42 = 73,283.36/x
  3. Step 3: Cross multiply
    199,674.68x = 299,418.42 × 73,283.36
  4. Step 4: Simplify right side
    199,674.68x = 21,942,387,863.49
  5. Step 5: Solve for x
    x = 21,942,387,863.49/199,674.68
  6. Step 6: Final answer
    x = 109,890.69

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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.