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Finding the Fourth Proportional to 270,701.56, 405,912.31 and 118,836.48

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Solution

The fourth proportional to 270,701.56, 405,912.31 and 118,836.48 is: 178,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,701.56 : 405,912.31 = 118,836.48 : x
  2. Step 2: Convert to fraction form
    270,701.56/405,912.31 = 118,836.48/x
  3. Step 3: Cross multiply
    270,701.56x = 405,912.31 × 118,836.48
  4. Step 4: Simplify right side
    270,701.56x = 48,237,189,514.89
  5. Step 5: Solve for x
    x = 48,237,189,514.89/270,701.56
  6. Step 6: Final answer
    x = 178,193.25

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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.