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Finding the Fourth Proportional to 216,135.66, 298,257.39 and 120,640.26

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Solution

The fourth proportional to 216,135.66, 298,257.39 and 120,640.26 is: 166,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,135.66 : 298,257.39 = 120,640.26 : x
  2. Step 2: Convert to fraction form
    216,135.66/298,257.39 = 120,640.26/x
  3. Step 3: Cross multiply
    216,135.66x = 298,257.39 × 120,640.26
  4. Step 4: Simplify right side
    216,135.66x = 35,981,849,076.52
  5. Step 5: Solve for x
    x = 35,981,849,076.52/216,135.66
  6. Step 6: Final answer
    x = 166,478.08

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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.