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Finding the Fourth Proportional to 285,099.14, 427,743.72 and 95,578.25

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Solution

The fourth proportional to 285,099.14, 427,743.72 and 95,578.25 is: 143,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,099.14 : 427,743.72 = 95,578.25 : x
  2. Step 2: Convert to fraction form
    285,099.14/427,743.72 = 95,578.25/x
  3. Step 3: Cross multiply
    285,099.14x = 427,743.72 × 95,578.25
  4. Step 4: Simplify right side
    285,099.14x = 40,882,994,067.37
  5. Step 5: Solve for x
    x = 40,882,994,067.37/285,099.14
  6. Step 6: Final answer
    x = 143,399.22

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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.