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Finding the Fourth Proportional to 216,508.59, 298,769.81 and 119,706.84

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Solution

The fourth proportional to 216,508.59, 298,769.81 and 119,706.84 is: 165,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,508.59 : 298,769.81 = 119,706.84 : x
  2. Step 2: Convert to fraction form
    216,508.59/298,769.81 = 119,706.84/x
  3. Step 3: Cross multiply
    216,508.59x = 298,769.81 × 119,706.84
  4. Step 4: Simplify right side
    216,508.59x = 35,764,789,243.97
  5. Step 5: Solve for x
    x = 35,764,789,243.97/216,508.59
  6. Step 6: Final answer
    x = 165,188.78

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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.