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Finding the Fourth Proportional to 275,096.37, 412,763.34 and 148,825.56

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Solution

The fourth proportional to 275,096.37, 412,763.34 and 148,825.56 is: 223,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,096.37 : 412,763.34 = 148,825.56 : x
  2. Step 2: Convert to fraction form
    275,096.37/412,763.34 = 148,825.56/x
  3. Step 3: Cross multiply
    275,096.37x = 412,763.34 × 148,825.56
  4. Step 4: Simplify right side
    275,096.37x = 61,429,735,222.97
  5. Step 5: Solve for x
    x = 61,429,735,222.97/275,096.37
  6. Step 6: Final answer
    x = 223,302.60

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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.