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Finding the Fourth Proportional to 219,451.86, 302,843.57 and 118,849.86

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Solution

The fourth proportional to 219,451.86, 302,843.57 and 118,849.86 is: 164,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,451.86 : 302,843.57 = 118,849.86 : x
  2. Step 2: Convert to fraction form
    219,451.86/302,843.57 = 118,849.86/x
  3. Step 3: Cross multiply
    219,451.86x = 302,843.57 × 118,849.86
  4. Step 4: Simplify right side
    219,451.86x = 35,992,915,896.40
  5. Step 5: Solve for x
    x = 35,992,915,896.40/219,451.86
  6. Step 6: Final answer
    x = 164,012.81

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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.