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Finding the Fourth Proportional to 217,051.20, 325,414.80 and 111,945.60

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Solution

The fourth proportional to 217,051.20, 325,414.80 and 111,945.60 is: 167,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,051.20 : 325,414.80 = 111,945.60 : x
  2. Step 2: Convert to fraction form
    217,051.20/325,414.80 = 111,945.60/x
  3. Step 3: Cross multiply
    217,051.20x = 325,414.80 × 111,945.60
  4. Step 4: Simplify right side
    217,051.20x = 36,428,755,034.88
  5. Step 5: Solve for x
    x = 36,428,755,034.88/217,051.20
  6. Step 6: Final answer
    x = 167,834.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.