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Finding the Fourth Proportional to 216,929.70, 324,738.45 and 193,310.10

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Solution

The fourth proportional to 216,929.70, 324,738.45 and 193,310.10 is: 289,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,929.70 : 324,738.45 = 193,310.10 : x
  2. Step 2: Convert to fraction form
    216,929.70/324,738.45 = 193,310.10/x
  3. Step 3: Cross multiply
    216,929.70x = 324,738.45 × 193,310.10
  4. Step 4: Simplify right side
    216,929.70x = 62,775,222,243.35
  5. Step 5: Solve for x
    x = 62,775,222,243.35/216,929.70
  6. Step 6: Final answer
    x = 289,380.49

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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.