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Finding the Fourth Proportional to 144,604.98, 199,556.97 and 83,317.38

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Solution

The fourth proportional to 144,604.98, 199,556.97 and 83,317.38 is: 114,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,604.98 : 199,556.97 = 83,317.38 : x
  2. Step 2: Convert to fraction form
    144,604.98/199,556.97 = 83,317.38/x
  3. Step 3: Cross multiply
    144,604.98x = 199,556.97 × 83,317.38
  4. Step 4: Simplify right side
    144,604.98x = 16,626,562,840.36
  5. Step 5: Solve for x
    x = 16,626,562,840.36/144,604.98
  6. Step 6: Final answer
    x = 114,979.19

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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.