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Finding the Fourth Proportional to 161,738.28, 223,189.11 and 90,105.51

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Solution

The fourth proportional to 161,738.28, 223,189.11 and 90,105.51 is: 124,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,738.28 : 223,189.11 = 90,105.51 : x
  2. Step 2: Convert to fraction form
    161,738.28/223,189.11 = 90,105.51/x
  3. Step 3: Cross multiply
    161,738.28x = 223,189.11 × 90,105.51
  4. Step 4: Simplify right side
    161,738.28x = 20,110,568,583.00
  5. Step 5: Solve for x
    x = 20,110,568,583.00/161,738.28
  6. Step 6: Final answer
    x = 124,340.19

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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.