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Finding the Fourth Proportional to 275,872.60, 413,808.90 and 142,793.65

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Solution

The fourth proportional to 275,872.60, 413,808.90 and 142,793.65 is: 214,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,872.60 : 413,808.90 = 142,793.65 : x
  2. Step 2: Convert to fraction form
    275,872.60/413,808.90 = 142,793.65/x
  3. Step 3: Cross multiply
    275,872.60x = 413,808.90 × 142,793.65
  4. Step 4: Simplify right side
    275,872.60x = 59,089,283,233.49
  5. Step 5: Solve for x
    x = 59,089,283,233.49/275,872.60
  6. Step 6: Final answer
    x = 214,190.48

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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.