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Finding the Fourth Proportional to 165,050, 227,768.44 and 89,597.96

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Solution

The fourth proportional to 165,050, 227,768.44 and 89,597.96 is: 123,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,050 : 227,768.44 = 89,597.96 : x
  2. Step 2: Convert to fraction form
    165,050/227,768.44 = 89,597.96/x
  3. Step 3: Cross multiply
    165,050x = 227,768.44 × 89,597.96
  4. Step 4: Simplify right side
    165,050x = 20,407,587,576.38
  5. Step 5: Solve for x
    x = 20,407,587,576.38/165,050
  6. Step 6: Final answer
    x = 123,644.88

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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.