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Finding the Fourth Proportional to 205,657.39, 283,821.66 and 115,021.79

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Solution

The fourth proportional to 205,657.39, 283,821.66 and 115,021.79 is: 158,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,657.39 : 283,821.66 = 115,021.79 : x
  2. Step 2: Convert to fraction form
    205,657.39/283,821.66 = 115,021.79/x
  3. Step 3: Cross multiply
    205,657.39x = 283,821.66 × 115,021.79
  4. Step 4: Simplify right side
    205,657.39x = 32,645,675,373.97
  5. Step 5: Solve for x
    x = 32,645,675,373.97/205,657.39
  6. Step 6: Final answer
    x = 158,738.16

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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.