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Finding the Fourth Proportional to 150,224.40, 225,450 and 102,726

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Solution

The fourth proportional to 150,224.40, 225,450 and 102,726 is: 154,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,224.40 : 225,450 = 102,726 : x
  2. Step 2: Convert to fraction form
    150,224.40/225,450 = 102,726/x
  3. Step 3: Cross multiply
    150,224.40x = 225,450 × 102,726
  4. Step 4: Simplify right side
    150,224.40x = 23,159,576,700
  5. Step 5: Solve for x
    x = 23,159,576,700/150,224.40
  6. Step 6: Final answer
    x = 154,166.54

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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.