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Finding the Fourth Proportional to 150,586.70, 225,949.02 and 65,223.66

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Solution

The fourth proportional to 150,586.70, 225,949.02 and 65,223.66 is: 97,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,586.70 : 225,949.02 = 65,223.66 : x
  2. Step 2: Convert to fraction form
    150,586.70/225,949.02 = 65,223.66/x
  3. Step 3: Cross multiply
    150,586.70x = 225,949.02 × 65,223.66
  4. Step 4: Simplify right side
    150,586.70x = 14,737,222,057.81
  5. Step 5: Solve for x
    x = 14,737,222,057.81/150,586.70
  6. Step 6: Final answer
    x = 97,865.37

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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.