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Finding the Fourth Proportional to 216,446.23, 298,659.22 and 120,953.71

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Solution

The fourth proportional to 216,446.23, 298,659.22 and 120,953.71 is: 166,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,446.23 : 298,659.22 = 120,953.71 : x
  2. Step 2: Convert to fraction form
    216,446.23/298,659.22 = 120,953.71/x
  3. Step 3: Cross multiply
    216,446.23x = 298,659.22 × 120,953.71
  4. Step 4: Simplify right side
    216,446.23x = 36,123,940,684.71
  5. Step 5: Solve for x
    x = 36,123,940,684.71/216,446.23
  6. Step 6: Final answer
    x = 166,895.68

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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.