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Finding the Fourth Proportional to 150,103.30, 224,608.20 and 110,737.30

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Solution

The fourth proportional to 150,103.30, 224,608.20 and 110,737.30 is: 165,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,103.30 : 224,608.20 = 110,737.30 : x
  2. Step 2: Convert to fraction form
    150,103.30/224,608.20 = 110,737.30/x
  3. Step 3: Cross multiply
    150,103.30x = 224,608.20 × 110,737.30
  4. Step 4: Simplify right side
    150,103.30x = 24,872,505,625.86
  5. Step 5: Solve for x
    x = 24,872,505,625.86/150,103.30
  6. Step 6: Final answer
    x = 165,702.59

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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.