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Finding the Fourth Proportional to 205,355.70, 308,033.55 and 182,805.30

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Solution

The fourth proportional to 205,355.70, 308,033.55 and 182,805.30 is: 274,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,355.70 : 308,033.55 = 182,805.30 : x
  2. Step 2: Convert to fraction form
    205,355.70/308,033.55 = 182,805.30/x
  3. Step 3: Cross multiply
    205,355.70x = 308,033.55 × 182,805.30
  4. Step 4: Simplify right side
    205,355.70x = 56,310,165,517.82
  5. Step 5: Solve for x
    x = 56,310,165,517.82/205,355.70
  6. Step 6: Final answer
    x = 274,207.95

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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.