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Finding the Fourth Proportional to 199,784.64, 299,636.42 and 73,381.44

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Solution

The fourth proportional to 199,784.64, 299,636.42 and 73,381.44 is: 110,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,784.64 : 299,636.42 = 73,381.44 : x
  2. Step 2: Convert to fraction form
    199,784.64/299,636.42 = 73,381.44/x
  3. Step 3: Cross multiply
    199,784.64x = 299,636.42 × 73,381.44
  4. Step 4: Simplify right side
    199,784.64x = 21,987,751,609.14
  5. Step 5: Solve for x
    x = 21,987,751,609.14/199,784.64
  6. Step 6: Final answer
    x = 110,057.27

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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.