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Finding the Fourth Proportional to 167,221.73, 230,750.76 and 99,227

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Solution

The fourth proportional to 167,221.73, 230,750.76 and 99,227 is: 136,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,221.73 : 230,750.76 = 99,227 : x
  2. Step 2: Convert to fraction form
    167,221.73/230,750.76 = 99,227/x
  3. Step 3: Cross multiply
    167,221.73x = 230,750.76 × 99,227
  4. Step 4: Simplify right side
    167,221.73x = 22,896,705,662.52
  5. Step 5: Solve for x
    x = 22,896,705,662.52/167,221.73
  6. Step 6: Final answer
    x = 136,924.22

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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.