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Finding the Fourth Proportional to 216,004.38, 298,086.23 and 120,511.09

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Solution

The fourth proportional to 216,004.38, 298,086.23 and 120,511.09 is: 166,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,004.38 : 298,086.23 = 120,511.09 : x
  2. Step 2: Convert to fraction form
    216,004.38/298,086.23 = 120,511.09/x
  3. Step 3: Cross multiply
    216,004.38x = 298,086.23 × 120,511.09
  4. Step 4: Simplify right side
    216,004.38x = 35,922,696,491.29
  5. Step 5: Solve for x
    x = 35,922,696,491.29/216,004.38
  6. Step 6: Final answer
    x = 166,305.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.