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Finding the Fourth Proportional to 223,896.38, 308,972.57 and 121,923.05

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Solution

The fourth proportional to 223,896.38, 308,972.57 and 121,923.05 is: 168,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,896.38 : 308,972.57 = 121,923.05 : x
  2. Step 2: Convert to fraction form
    223,896.38/308,972.57 = 121,923.05/x
  3. Step 3: Cross multiply
    223,896.38x = 308,972.57 × 121,923.05
  4. Step 4: Simplify right side
    223,896.38x = 37,670,875,946.26
  5. Step 5: Solve for x
    x = 37,670,875,946.26/223,896.38
  6. Step 6: Final answer
    x = 168,251.39

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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.