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Finding the Fourth Proportional to 216,568.80, 298,856.32 and 119,766.37

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Solution

The fourth proportional to 216,568.80, 298,856.32 and 119,766.37 is: 165,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,568.80 : 298,856.32 = 119,766.37 : x
  2. Step 2: Convert to fraction form
    216,568.80/298,856.32 = 119,766.37/x
  3. Step 3: Cross multiply
    216,568.80x = 298,856.32 × 119,766.37
  4. Step 4: Simplify right side
    216,568.80x = 35,792,936,597.96
  5. Step 5: Solve for x
    x = 35,792,936,597.96/216,568.80
  6. Step 6: Final answer
    x = 165,272.82

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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.