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Finding the Fourth Proportional to 276,329, 381,334.02 and 157,097

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Solution

The fourth proportional to 276,329, 381,334.02 and 157,097 is: 216,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,329 : 381,334.02 = 157,097 : x
  2. Step 2: Convert to fraction form
    276,329/381,334.02 = 157,097/x
  3. Step 3: Cross multiply
    276,329x = 381,334.02 × 157,097
  4. Step 4: Simplify right side
    276,329x = 59,906,430,539.94
  5. Step 5: Solve for x
    x = 59,906,430,539.94/276,329
  6. Step 6: Final answer
    x = 216,793.86

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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.