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Finding the Fourth Proportional to 218,265.85, 301,209.38 and 122,771.71

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Solution

The fourth proportional to 218,265.85, 301,209.38 and 122,771.71 is: 169,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,265.85 : 301,209.38 = 122,771.71 : x
  2. Step 2: Convert to fraction form
    218,265.85/301,209.38 = 122,771.71/x
  3. Step 3: Cross multiply
    218,265.85x = 301,209.38 × 122,771.71
  4. Step 4: Simplify right side
    218,265.85x = 36,979,990,650.64
  5. Step 5: Solve for x
    x = 36,979,990,650.64/218,265.85
  6. Step 6: Final answer
    x = 169,426.37

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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.