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Finding the Fourth Proportional to 164,901.96, 227,564.31 and 89,450.46

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Solution

The fourth proportional to 164,901.96, 227,564.31 and 89,450.46 is: 123,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,901.96 : 227,564.31 = 89,450.46 : x
  2. Step 2: Convert to fraction form
    164,901.96/227,564.31 = 89,450.46/x
  3. Step 3: Cross multiply
    164,901.96x = 227,564.31 × 89,450.46
  4. Step 4: Simplify right side
    164,901.96x = 20,355,732,209.08
  5. Step 5: Solve for x
    x = 20,355,732,209.08/164,901.96
  6. Step 6: Final answer
    x = 123,441.42

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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.