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Finding the Fourth Proportional to 218,235.36, 301,161.83 and 122,742.03

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Solution

The fourth proportional to 218,235.36, 301,161.83 and 122,742.03 is: 169,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,235.36 : 301,161.83 = 122,742.03 : x
  2. Step 2: Convert to fraction form
    218,235.36/301,161.83 = 122,742.03/x
  3. Step 3: Cross multiply
    218,235.36x = 301,161.83 × 122,742.03
  4. Step 4: Simplify right side
    218,235.36x = 36,965,214,372.71
  5. Step 5: Solve for x
    x = 36,965,214,372.71/218,235.36
  6. Step 6: Final answer
    x = 169,382.33

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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.