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Finding the Fourth Proportional to 223,824.30, 308,876.67 and 123,222.30

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Solution

The fourth proportional to 223,824.30, 308,876.67 and 123,222.30 is: 170,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,824.30 : 308,876.67 = 123,222.30 : x
  2. Step 2: Convert to fraction form
    223,824.30/308,876.67 = 123,222.30/x
  3. Step 3: Cross multiply
    223,824.30x = 308,876.67 × 123,222.30
  4. Step 4: Simplify right side
    223,824.30x = 38,060,493,693.74
  5. Step 5: Solve for x
    x = 38,060,493,693.74/223,824.30
  6. Step 6: Final answer
    x = 170,046.30

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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.