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Finding the Fourth Proportional to 264,034.89, 396,232.83 and 145,789.34

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Solution

The fourth proportional to 264,034.89, 396,232.83 and 145,789.34 is: 218,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,034.89 : 396,232.83 = 145,789.34 : x
  2. Step 2: Convert to fraction form
    264,034.89/396,232.83 = 145,789.34/x
  3. Step 3: Cross multiply
    264,034.89x = 396,232.83 × 145,789.34
  4. Step 4: Simplify right side
    264,034.89x = 57,766,520,790.87
  5. Step 5: Solve for x
    x = 57,766,520,790.87/264,034.89
  6. Step 6: Final answer
    x = 218,783.66

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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.