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Finding the Fourth Proportional to 275,452.30, 412,292.58 and 142,150.96

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Solution

The fourth proportional to 275,452.30, 412,292.58 and 142,150.96 is: 212,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,452.30 : 412,292.58 = 142,150.96 : x
  2. Step 2: Convert to fraction form
    275,452.30/412,292.58 = 142,150.96/x
  3. Step 3: Cross multiply
    275,452.30x = 412,292.58 × 142,150.96
  4. Step 4: Simplify right side
    275,452.30x = 58,607,786,047.88
  5. Step 5: Solve for x
    x = 58,607,786,047.88/275,452.30
  6. Step 6: Final answer
    x = 212,769.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.