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Finding the Fourth Proportional to 150,612.80, 225,846.24 and 45,412.16

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Solution

The fourth proportional to 150,612.80, 225,846.24 and 45,412.16 is: 68,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,612.80 : 225,846.24 = 45,412.16 : x
  2. Step 2: Convert to fraction form
    150,612.80/225,846.24 = 45,412.16/x
  3. Step 3: Cross multiply
    150,612.80x = 225,846.24 × 45,412.16
  4. Step 4: Simplify right side
    150,612.80x = 10,256,165,586.28
  5. Step 5: Solve for x
    x = 10,256,165,586.28/150,612.80
  6. Step 6: Final answer
    x = 68,096.24

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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.