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Finding the Fourth Proportional to 164,520.84, 227,039.85 and 89,069.34

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Solution

The fourth proportional to 164,520.84, 227,039.85 and 89,069.34 is: 122,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,520.84 : 227,039.85 = 89,069.34 : x
  2. Step 2: Convert to fraction form
    164,520.84/227,039.85 = 89,069.34/x
  3. Step 3: Cross multiply
    164,520.84x = 227,039.85 × 89,069.34
  4. Step 4: Simplify right side
    164,520.84x = 20,222,289,593.20
  5. Step 5: Solve for x
    x = 20,222,289,593.20/164,520.84
  6. Step 6: Final answer
    x = 122,916.28

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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.