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Finding the Fourth Proportional to 199,542.72, 299,136.05 and 73,153.44

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Solution

The fourth proportional to 199,542.72, 299,136.05 and 73,153.44 is: 109,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,542.72 : 299,136.05 = 73,153.44 : x
  2. Step 2: Convert to fraction form
    199,542.72/299,136.05 = 73,153.44/x
  3. Step 3: Cross multiply
    199,542.72x = 299,136.05 × 73,153.44
  4. Step 4: Simplify right side
    199,542.72x = 21,882,830,719.74
  5. Step 5: Solve for x
    x = 21,882,830,719.74/199,542.72
  6. Step 6: Final answer
    x = 109,664.89

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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.