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Finding the Fourth Proportional to 275,451.30, 412,291.08 and 142,149.96

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Solution

The fourth proportional to 275,451.30, 412,291.08 and 142,149.96 is: 212,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,451.30 : 412,291.08 = 142,149.96 : x
  2. Step 2: Convert to fraction form
    275,451.30/412,291.08 = 142,149.96/x
  3. Step 3: Cross multiply
    275,451.30x = 412,291.08 × 142,149.96
  4. Step 4: Simplify right side
    275,451.30x = 58,607,160,530.36
  5. Step 5: Solve for x
    x = 58,607,160,530.36/275,451.30
  6. Step 6: Final answer
    x = 212,767.78

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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.