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Finding the Fourth Proportional to 128,998.56, 178,021.20 and 72,414.24

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Solution

The fourth proportional to 128,998.56, 178,021.20 and 72,414.24 is: 99,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,998.56 : 178,021.20 = 72,414.24 : x
  2. Step 2: Convert to fraction form
    128,998.56/178,021.20 = 72,414.24/x
  3. Step 3: Cross multiply
    128,998.56x = 178,021.20 × 72,414.24
  4. Step 4: Simplify right side
    128,998.56x = 12,891,269,901.89
  5. Step 5: Solve for x
    x = 12,891,269,901.89/128,998.56
  6. Step 6: Final answer
    x = 99,933.44

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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.