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Finding the Fourth Proportional to 223,794.62, 308,836.56 and 123,192.62

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Solution

The fourth proportional to 223,794.62, 308,836.56 and 123,192.62 is: 170,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,794.62 : 308,836.56 = 123,192.62 : x
  2. Step 2: Convert to fraction form
    223,794.62/308,836.56 = 123,192.62/x
  3. Step 3: Cross multiply
    223,794.62x = 308,836.56 × 123,192.62
  4. Step 4: Simplify right side
    223,794.62x = 38,046,383,434.00
  5. Step 5: Solve for x
    x = 38,046,383,434.00/223,794.62
  6. Step 6: Final answer
    x = 170,005.80

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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.