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Finding the Fourth Proportional to 123,481.56, 185,222.40 and 29,986.68

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Solution

The fourth proportional to 123,481.56, 185,222.40 and 29,986.68 is: 44,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,481.56 : 185,222.40 = 29,986.68 : x
  2. Step 2: Convert to fraction form
    123,481.56/185,222.40 = 29,986.68/x
  3. Step 3: Cross multiply
    123,481.56x = 185,222.40 × 29,986.68
  4. Step 4: Simplify right side
    123,481.56x = 5,554,204,837.63
  5. Step 5: Solve for x
    x = 5,554,204,837.63/123,481.56
  6. Step 6: Final answer
    x = 44,980.03

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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.