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Finding the Fourth Proportional to 223,192.80, 308,059.20 and 127,754.64

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Solution

The fourth proportional to 223,192.80, 308,059.20 and 127,754.64 is: 176,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,192.80 : 308,059.20 = 127,754.64 : x
  2. Step 2: Convert to fraction form
    223,192.80/308,059.20 = 127,754.64/x
  3. Step 3: Cross multiply
    223,192.80x = 308,059.20 × 127,754.64
  4. Step 4: Simplify right side
    223,192.80x = 39,355,992,194.69
  5. Step 5: Solve for x
    x = 39,355,992,194.69/223,192.80
  6. Step 6: Final answer
    x = 176,331.82

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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.