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Finding the Fourth Proportional to 205,357.20, 308,081.70 and 72,241.80

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Solution

The fourth proportional to 205,357.20, 308,081.70 and 72,241.80 is: 108,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,357.20 : 308,081.70 = 72,241.80 : x
  2. Step 2: Convert to fraction form
    205,357.20/308,081.70 = 72,241.80/x
  3. Step 3: Cross multiply
    205,357.20x = 308,081.70 × 72,241.80
  4. Step 4: Simplify right side
    205,357.20x = 22,256,376,555.06
  5. Step 5: Solve for x
    x = 22,256,376,555.06/205,357.20
  6. Step 6: Final answer
    x = 108,378.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.