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Finding the Fourth Proportional to 264,765.26, 365,374.34 and 151,609.88

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Solution

The fourth proportional to 264,765.26, 365,374.34 and 151,609.88 is: 209,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,765.26 : 365,374.34 = 151,609.88 : x
  2. Step 2: Convert to fraction form
    264,765.26/365,374.34 = 151,609.88/x
  3. Step 3: Cross multiply
    264,765.26x = 365,374.34 × 151,609.88
  4. Step 4: Simplify right side
    264,765.26x = 55,394,357,257.56
  5. Step 5: Solve for x
    x = 55,394,357,257.56/264,765.26
  6. Step 6: Final answer
    x = 209,220.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.