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Finding the Fourth Proportional to 135,829.82, 203,744.54 and 51,589.82

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Solution

The fourth proportional to 135,829.82, 203,744.54 and 51,589.82 is: 77,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,829.82 : 203,744.54 = 51,589.82 : x
  2. Step 2: Convert to fraction form
    135,829.82/203,744.54 = 51,589.82/x
  3. Step 3: Cross multiply
    135,829.82x = 203,744.54 × 51,589.82
  4. Step 4: Simplify right side
    135,829.82x = 10,511,144,144.58
  5. Step 5: Solve for x
    x = 10,511,144,144.58/135,829.82
  6. Step 6: Final answer
    x = 77,384.66

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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.