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Finding the Fourth Proportional to 216,497.81, 298,771.41 and 119,709.55

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Solution

The fourth proportional to 216,497.81, 298,771.41 and 119,709.55 is: 165,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,497.81 : 298,771.41 = 119,709.55 : x
  2. Step 2: Convert to fraction form
    216,497.81/298,771.41 = 119,709.55/x
  3. Step 3: Cross multiply
    216,497.81x = 298,771.41 × 119,709.55
  4. Step 4: Simplify right side
    216,497.81x = 35,765,789,659.68
  5. Step 5: Solve for x
    x = 35,765,789,659.68/216,497.81
  6. Step 6: Final answer
    x = 165,201.62

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1.5x scale

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.