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Finding the Fourth Proportional to 164,508.80, 227,022.86 and 89,057.30

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Solution

The fourth proportional to 164,508.80, 227,022.86 and 89,057.30 is: 122,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,508.80 : 227,022.86 = 89,057.30 : x
  2. Step 2: Convert to fraction form
    164,508.80/227,022.86 = 89,057.30/x
  3. Step 3: Cross multiply
    164,508.80x = 227,022.86 × 89,057.30
  4. Step 4: Simplify right side
    164,508.80x = 20,218,041,369.48
  5. Step 5: Solve for x
    x = 20,218,041,369.48/164,508.80
  6. Step 6: Final answer
    x = 122,899.46

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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.