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Finding the Fourth Proportional to 275,037.42, 412,674.67 and 148,766.57

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Solution

The fourth proportional to 275,037.42, 412,674.67 and 148,766.57 is: 223,213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,037.42 : 412,674.67 = 148,766.57 : x
  2. Step 2: Convert to fraction form
    275,037.42/412,674.67 = 148,766.57/x
  3. Step 3: Cross multiply
    275,037.42x = 412,674.67 × 148,766.57
  4. Step 4: Simplify right side
    275,037.42x = 61,392,193,118.41
  5. Step 5: Solve for x
    x = 61,392,193,118.41/275,037.42
  6. Step 6: Final answer
    x = 223,213.97

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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.