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Finding the Fourth Proportional to 283,947, 425,795.76 and 106,329.44

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Solution

The fourth proportional to 283,947, 425,795.76 and 106,329.44 is: 159,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,947 : 425,795.76 = 106,329.44 : x
  2. Step 2: Convert to fraction form
    283,947/425,795.76 = 106,329.44/x
  3. Step 3: Cross multiply
    283,947x = 425,795.76 × 106,329.44
  4. Step 4: Simplify right side
    283,947x = 45,274,622,586.20
  5. Step 5: Solve for x
    x = 45,274,622,586.20/283,947
  6. Step 6: Final answer
    x = 159,447.44

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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.