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Finding the Fourth Proportional to 164,687.92, 227,269.80 and 89,236.42

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Solution

The fourth proportional to 164,687.92, 227,269.80 and 89,236.42 is: 123,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,687.92 : 227,269.80 = 89,236.42 : x
  2. Step 2: Convert to fraction form
    164,687.92/227,269.80 = 89,236.42/x
  3. Step 3: Cross multiply
    164,687.92x = 227,269.80 × 89,236.42
  4. Step 4: Simplify right side
    164,687.92x = 20,280,742,757.94
  5. Step 5: Solve for x
    x = 20,280,742,757.94/164,687.92
  6. Step 6: Final answer
    x = 123,146.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.