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Finding the Fourth Proportional to 123,633.44, 185,401.63 and 43,654.34

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Solution

The fourth proportional to 123,633.44, 185,401.63 and 43,654.34 is: 65,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,633.44 : 185,401.63 = 43,654.34 : x
  2. Step 2: Convert to fraction form
    123,633.44/185,401.63 = 43,654.34/x
  3. Step 3: Cross multiply
    123,633.44x = 185,401.63 × 43,654.34
  4. Step 4: Simplify right side
    123,633.44x = 8,093,586,146.94
  5. Step 5: Solve for x
    x = 8,093,586,146.94/123,633.44
  6. Step 6: Final answer
    x = 65,464.38

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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.