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Finding the Fourth Proportional to 150,539.75, 207,749.43 and 82,559.55

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Solution

The fourth proportional to 150,539.75, 207,749.43 and 82,559.55 is: 113,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,539.75 : 207,749.43 = 82,559.55 : x
  2. Step 2: Convert to fraction form
    150,539.75/207,749.43 = 82,559.55/x
  3. Step 3: Cross multiply
    150,539.75x = 207,749.43 × 82,559.55
  4. Step 4: Simplify right side
    150,539.75x = 17,151,699,453.56
  5. Step 5: Solve for x
    x = 17,151,699,453.56/150,539.75
  6. Step 6: Final answer
    x = 113,934.69

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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.