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Finding the Fourth Proportional to 216,071.69, 298,143.26 and 120,578.15

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Solution

The fourth proportional to 216,071.69, 298,143.26 and 120,578.15 is: 166,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,071.69 : 298,143.26 = 120,578.15 : x
  2. Step 2: Convert to fraction form
    216,071.69/298,143.26 = 120,578.15/x
  3. Step 3: Cross multiply
    216,071.69x = 298,143.26 × 120,578.15
  4. Step 4: Simplify right side
    216,071.69x = 35,949,562,725.77
  5. Step 5: Solve for x
    x = 35,949,562,725.77/216,071.69
  6. Step 6: Final answer
    x = 166,377.94

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