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Finding the Fourth Proportional to 164,882.56, 227,536.80 and 89,431.12

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Solution

The fourth proportional to 164,882.56, 227,536.80 and 89,431.12 is: 123,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,882.56 : 227,536.80 = 89,431.12 : x
  2. Step 2: Convert to fraction form
    164,882.56/227,536.80 = 89,431.12/x
  3. Step 3: Cross multiply
    164,882.56x = 227,536.80 × 89,431.12
  4. Step 4: Simplify right side
    164,882.56x = 20,348,870,865.22
  5. Step 5: Solve for x
    x = 20,348,870,865.22/164,882.56
  6. Step 6: Final answer
    x = 123,414.33

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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.