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Finding the Fourth Proportional to 144,324.27, 199,177.24 and 83,894.73

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Solution

The fourth proportional to 144,324.27, 199,177.24 and 83,894.73 is: 115,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,324.27 : 199,177.24 = 83,894.73 : x
  2. Step 2: Convert to fraction form
    144,324.27/199,177.24 = 83,894.73/x
  3. Step 3: Cross multiply
    144,324.27x = 199,177.24 × 83,894.73
  4. Step 4: Simplify right side
    144,324.27x = 16,709,920,771.95
  5. Step 5: Solve for x
    x = 16,709,920,771.95/144,324.27
  6. Step 6: Final answer
    x = 115,780.39

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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.