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Finding the Fourth Proportional to 223,284.54, 308,114.79 and 127,769.34

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Solution

The fourth proportional to 223,284.54, 308,114.79 and 127,769.34 is: 176,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,284.54 : 308,114.79 = 127,769.34 : x
  2. Step 2: Convert to fraction form
    223,284.54/308,114.79 = 127,769.34/x
  3. Step 3: Cross multiply
    223,284.54x = 308,114.79 × 127,769.34
  4. Step 4: Simplify right side
    223,284.54x = 39,367,623,362.54
  5. Step 5: Solve for x
    x = 39,367,623,362.54/223,284.54
  6. Step 6: Final answer
    x = 176,311.46

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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.