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Finding the Fourth Proportional to 235,287.30, 352,733.78 and 164,000.82

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Solution

The fourth proportional to 235,287.30, 352,733.78 and 164,000.82 is: 245,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,287.30 : 352,733.78 = 164,000.82 : x
  2. Step 2: Convert to fraction form
    235,287.30/352,733.78 = 164,000.82/x
  3. Step 3: Cross multiply
    235,287.30x = 352,733.78 × 164,000.82
  4. Step 4: Simplify right side
    235,287.30x = 57,848,629,161.70
  5. Step 5: Solve for x
    x = 57,848,629,161.70/235,287.30
  6. Step 6: Final answer
    x = 245,863.80

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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.