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Finding the Fourth Proportional to 157,400.37, 217,041 and 106,324.44

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Solution

The fourth proportional to 157,400.37, 217,041 and 106,324.44 is: 146,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,400.37 : 217,041 = 106,324.44 : x
  2. Step 2: Convert to fraction form
    157,400.37/217,041 = 106,324.44/x
  3. Step 3: Cross multiply
    157,400.37x = 217,041 × 106,324.44
  4. Step 4: Simplify right side
    157,400.37x = 23,076,762,782.04
  5. Step 5: Solve for x
    x = 23,076,762,782.04/157,400.37
  6. Step 6: Final answer
    x = 146,611.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.