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Finding the Fourth Proportional to 301,018.49, 451,209.54 and 111,357.05

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Solution

The fourth proportional to 301,018.49, 451,209.54 and 111,357.05 is: 166,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,018.49 : 451,209.54 = 111,357.05 : x
  2. Step 2: Convert to fraction form
    301,018.49/451,209.54 = 111,357.05/x
  3. Step 3: Cross multiply
    301,018.49x = 451,209.54 × 111,357.05
  4. Step 4: Simplify right side
    301,018.49x = 50,245,363,306.26
  5. Step 5: Solve for x
    x = 50,245,363,306.26/301,018.49
  6. Step 6: Final answer
    x = 166,917.86

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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.