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Finding the Fourth Proportional to 229,010.73, 315,744.21 and 163,677.53

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Solution

The fourth proportional to 229,010.73, 315,744.21 and 163,677.53 is: 225,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,010.73 : 315,744.21 = 163,677.53 : x
  2. Step 2: Convert to fraction form
    229,010.73/315,744.21 = 163,677.53/x
  3. Step 3: Cross multiply
    229,010.73x = 315,744.21 × 163,677.53
  4. Step 4: Simplify right side
    229,010.73x = 51,680,230,825.88
  5. Step 5: Solve for x
    x = 51,680,230,825.88/229,010.73
  6. Step 6: Final answer
    x = 225,667.29

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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.