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Finding the Fourth Proportional to 275,128.10, 412,452.15 and 106,763.30

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Solution

The fourth proportional to 275,128.10, 412,452.15 and 106,763.30 is: 160,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,128.10 : 412,452.15 = 106,763.30 : x
  2. Step 2: Convert to fraction form
    275,128.10/412,452.15 = 106,763.30/x
  3. Step 3: Cross multiply
    275,128.10x = 412,452.15 × 106,763.30
  4. Step 4: Simplify right side
    275,128.10x = 44,034,752,626.10
  5. Step 5: Solve for x
    x = 44,034,752,626.10/275,128.10
  6. Step 6: Final answer
    x = 160,051.82

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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.