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Finding the Fourth Proportional to 104,149.50, 156,231.54 and 41,820

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Solution

The fourth proportional to 104,149.50, 156,231.54 and 41,820 is: 62,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,149.50 : 156,231.54 = 41,820 : x
  2. Step 2: Convert to fraction form
    104,149.50/156,231.54 = 41,820/x
  3. Step 3: Cross multiply
    104,149.50x = 156,231.54 × 41,820
  4. Step 4: Simplify right side
    104,149.50x = 6,533,603,002.80
  5. Step 5: Solve for x
    x = 6,533,603,002.80/104,149.50
  6. Step 6: Final answer
    x = 62,732.93

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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.