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Finding the Fourth Proportional to 205,769.97, 283,866.65 and 133,196.28

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Solution

The fourth proportional to 205,769.97, 283,866.65 and 133,196.28 is: 183,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,769.97 : 283,866.65 = 133,196.28 : x
  2. Step 2: Convert to fraction form
    205,769.97/283,866.65 = 133,196.28/x
  3. Step 3: Cross multiply
    205,769.97x = 283,866.65 × 133,196.28
  4. Step 4: Simplify right side
    205,769.97x = 37,809,980,376.73
  5. Step 5: Solve for x
    x = 37,809,980,376.73/205,769.97
  6. Step 6: Final answer
    x = 183,748.78

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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.