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Finding the Fourth Proportional to 150,520.46, 225,622.64 and 50,646

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Solution

The fourth proportional to 150,520.46, 225,622.64 and 50,646 is: 75,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,520.46 : 225,622.64 = 50,646 : x
  2. Step 2: Convert to fraction form
    150,520.46/225,622.64 = 50,646/x
  3. Step 3: Cross multiply
    150,520.46x = 225,622.64 × 50,646
  4. Step 4: Simplify right side
    150,520.46x = 11,426,884,225.44
  5. Step 5: Solve for x
    x = 11,426,884,225.44/150,520.46
  6. Step 6: Final answer
    x = 75,915.82

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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.