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Finding the Fourth Proportional to 164,769.74, 227,383.71 and 89,318.22

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Solution

The fourth proportional to 164,769.74, 227,383.71 and 89,318.22 is: 123,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,769.74 : 227,383.71 = 89,318.22 : x
  2. Step 2: Convert to fraction form
    164,769.74/227,383.71 = 89,318.22/x
  3. Step 3: Cross multiply
    164,769.74x = 227,383.71 × 89,318.22
  4. Step 4: Simplify right side
    164,769.74x = 20,309,508,234.20
  5. Step 5: Solve for x
    x = 20,309,508,234.20/164,769.74
  6. Step 6: Final answer
    x = 123,259.94

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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.