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Finding the Fourth Proportional to 144,955.86, 199,993.68 and 83,694.04

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Solution

The fourth proportional to 144,955.86, 199,993.68 and 83,694.04 is: 115,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,955.86 : 199,993.68 = 83,694.04 : x
  2. Step 2: Convert to fraction form
    144,955.86/199,993.68 = 83,694.04/x
  3. Step 3: Cross multiply
    144,955.86x = 199,993.68 × 83,694.04
  4. Step 4: Simplify right side
    144,955.86x = 16,738,279,053.67
  5. Step 5: Solve for x
    x = 16,738,279,053.67/144,955.86
  6. Step 6: Final answer
    x = 115,471.56

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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.