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Finding the Fourth Proportional to 283,578.54, 425,441.61 and 106,099.44

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Solution

The fourth proportional to 283,578.54, 425,441.61 and 106,099.44 is: 159,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,578.54 : 425,441.61 = 106,099.44 : x
  2. Step 2: Convert to fraction form
    283,578.54/425,441.61 = 106,099.44/x
  3. Step 3: Cross multiply
    283,578.54x = 425,441.61 × 106,099.44
  4. Step 4: Simplify right side
    283,578.54x = 45,139,116,573.70
  5. Step 5: Solve for x
    x = 45,139,116,573.70/283,578.54
  6. Step 6: Final answer
    x = 159,176.77

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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.