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Finding the Fourth Proportional to 144,354.09, 199,208.91 and 80,691.85

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Solution

The fourth proportional to 144,354.09, 199,208.91 and 80,691.85 is: 111,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,354.09 : 199,208.91 = 80,691.85 : x
  2. Step 2: Convert to fraction form
    144,354.09/199,208.91 = 80,691.85/x
  3. Step 3: Cross multiply
    144,354.09x = 199,208.91 × 80,691.85
  4. Step 4: Simplify right side
    144,354.09x = 16,074,535,484.38
  5. Step 5: Solve for x
    x = 16,074,535,484.38/144,354.09
  6. Step 6: Final answer
    x = 111,354.90

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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.