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Finding the Fourth Proportional to 216,165.33, 298,222.43 and 144,431.73

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Solution

The fourth proportional to 216,165.33, 298,222.43 and 144,431.73 is: 199,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,165.33 : 298,222.43 = 144,431.73 : x
  2. Step 2: Convert to fraction form
    216,165.33/298,222.43 = 144,431.73/x
  3. Step 3: Cross multiply
    216,165.33x = 298,222.43 × 144,431.73
  4. Step 4: Simplify right side
    216,165.33x = 43,072,780,767.55
  5. Step 5: Solve for x
    x = 43,072,780,767.55/216,165.33
  6. Step 6: Final answer
    x = 199,258.51

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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.