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Finding the Fourth Proportional to 144,957.84, 199,996.44 and 83,696.04

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Solution

The fourth proportional to 144,957.84, 199,996.44 and 83,696.04 is: 115,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,957.84 : 199,996.44 = 83,696.04 : x
  2. Step 2: Convert to fraction form
    144,957.84/199,996.44 = 83,696.04/x
  3. Step 3: Cross multiply
    144,957.84x = 199,996.44 × 83,696.04
  4. Step 4: Simplify right side
    144,957.84x = 16,738,910,042.10
  5. Step 5: Solve for x
    x = 16,738,910,042.10/144,957.84
  6. Step 6: Final answer
    x = 115,474.33

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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.