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Finding the Fourth Proportional to 270,596.67, 405,933.89 and 83,622.75

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Solution

The fourth proportional to 270,596.67, 405,933.89 and 83,622.75 is: 125,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,596.67 : 405,933.89 = 83,622.75 : x
  2. Step 2: Convert to fraction form
    270,596.67/405,933.89 = 83,622.75/x
  3. Step 3: Cross multiply
    270,596.67x = 405,933.89 × 83,622.75
  4. Step 4: Simplify right side
    270,596.67x = 33,945,307,781.88
  5. Step 5: Solve for x
    x = 33,945,307,781.88/270,596.67
  6. Step 6: Final answer
    x = 125,446.14

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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.