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Finding the Fourth Proportional to 144,716.90, 199,734.05 and 84,323.34

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Solution

The fourth proportional to 144,716.90, 199,734.05 and 84,323.34 is: 116,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,716.90 : 199,734.05 = 84,323.34 : x
  2. Step 2: Convert to fraction form
    144,716.90/199,734.05 = 84,323.34/x
  3. Step 3: Cross multiply
    144,716.90x = 199,734.05 × 84,323.34
  4. Step 4: Simplify right side
    144,716.90x = 16,842,241,786.11
  5. Step 5: Solve for x
    x = 16,842,241,786.11/144,716.90
  6. Step 6: Final answer
    x = 116,380.61

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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.