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Finding the Fourth Proportional to 229,770.33, 316,731.63 and 161,601.54

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Solution

The fourth proportional to 229,770.33, 316,731.63 and 161,601.54 is: 222,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,770.33 : 316,731.63 = 161,601.54 : x
  2. Step 2: Convert to fraction form
    229,770.33/316,731.63 = 161,601.54/x
  3. Step 3: Cross multiply
    229,770.33x = 316,731.63 × 161,601.54
  4. Step 4: Simplify right side
    229,770.33x = 51,184,317,591.05
  5. Step 5: Solve for x
    x = 51,184,317,591.05/229,770.33
  6. Step 6: Final answer
    x = 222,762.96

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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.