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Finding the Fourth Proportional to 200,932.85, 301,348.51 and 74,503.61

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Solution

The fourth proportional to 200,932.85, 301,348.51 and 74,503.61 is: 111,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,932.85 : 301,348.51 = 74,503.61 : x
  2. Step 2: Convert to fraction form
    200,932.85/301,348.51 = 74,503.61/x
  3. Step 3: Cross multiply
    200,932.85x = 301,348.51 × 74,503.61
  4. Step 4: Simplify right side
    200,932.85x = 22,451,551,863.12
  5. Step 5: Solve for x
    x = 22,451,551,863.12/200,932.85
  6. Step 6: Final answer
    x = 111,736.59

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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.