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Finding the Fourth Proportional to 267,824.44, 369,770.87 and 165,958

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Solution

The fourth proportional to 267,824.44, 369,770.87 and 165,958 is: 229,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,824.44 : 369,770.87 = 165,958 : x
  2. Step 2: Convert to fraction form
    267,824.44/369,770.87 = 165,958/x
  3. Step 3: Cross multiply
    267,824.44x = 369,770.87 × 165,958
  4. Step 4: Simplify right side
    267,824.44x = 61,366,434,043.46
  5. Step 5: Solve for x
    x = 61,366,434,043.46/267,824.44
  6. Step 6: Final answer
    x = 229,129.33

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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.