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Finding the Fourth Proportional to 164,207.68, 226,609.11 and 96,208.38

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Solution

The fourth proportional to 164,207.68, 226,609.11 and 96,208.38 is: 132,769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,207.68 : 226,609.11 = 96,208.38 : x
  2. Step 2: Convert to fraction form
    164,207.68/226,609.11 = 96,208.38/x
  3. Step 3: Cross multiply
    164,207.68x = 226,609.11 × 96,208.38
  4. Step 4: Simplify right side
    164,207.68x = 21,801,695,366.34
  5. Step 5: Solve for x
    x = 21,801,695,366.34/164,207.68
  6. Step 6: Final answer
    x = 132,769.04

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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.