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Finding the Fourth Proportional to 164,508.96, 227,022.44 and 89,057.46

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Solution

The fourth proportional to 164,508.96, 227,022.44 and 89,057.46 is: 122,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,508.96 : 227,022.44 = 89,057.46 : x
  2. Step 2: Convert to fraction form
    164,508.96/227,022.44 = 89,057.46/x
  3. Step 3: Cross multiply
    164,508.96x = 227,022.44 × 89,057.46
  4. Step 4: Simplify right side
    164,508.96x = 20,218,041,869.40
  5. Step 5: Solve for x
    x = 20,218,041,869.40/164,508.96
  6. Step 6: Final answer
    x = 122,899.34

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1.5x scale

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.