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Finding the Fourth Proportional to 172,934.60, 259,596.30 and 133,665.80

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Solution

The fourth proportional to 172,934.60, 259,596.30 and 133,665.80 is: 200,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,934.60 : 259,596.30 = 133,665.80 : x
  2. Step 2: Convert to fraction form
    172,934.60/259,596.30 = 133,665.80/x
  3. Step 3: Cross multiply
    172,934.60x = 259,596.30 × 133,665.80
  4. Step 4: Simplify right side
    172,934.60x = 34,699,147,116.54
  5. Step 5: Solve for x
    x = 34,699,147,116.54/172,934.60
  6. Step 6: Final answer
    x = 200,648.96

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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.