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Finding the Fourth Proportional to 216,053.73, 298,156.44 and 120,558.38

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Solution

The fourth proportional to 216,053.73, 298,156.44 and 120,558.38 is: 166,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,053.73 : 298,156.44 = 120,558.38 : x
  2. Step 2: Convert to fraction form
    216,053.73/298,156.44 = 120,558.38/x
  3. Step 3: Cross multiply
    216,053.73x = 298,156.44 × 120,558.38
  4. Step 4: Simplify right side
    216,053.73x = 35,945,256,354.28
  5. Step 5: Solve for x
    x = 35,945,256,354.28/216,053.73
  6. Step 6: Final answer
    x = 166,371.84

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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.