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Finding the Fourth Proportional to 150,520.61, 225,818.62 and 106,233.86

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Solution

The fourth proportional to 150,520.61, 225,818.62 and 106,233.86 is: 159,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,520.61 : 225,818.62 = 106,233.86 : x
  2. Step 2: Convert to fraction form
    150,520.61/225,818.62 = 106,233.86/x
  3. Step 3: Cross multiply
    150,520.61x = 225,818.62 × 106,233.86
  4. Step 4: Simplify right side
    150,520.61x = 23,989,583,961.44
  5. Step 5: Solve for x
    x = 23,989,583,961.44/150,520.61
  6. Step 6: Final answer
    x = 159,377.40

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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.