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Finding the Fourth Proportional to 164,475.96, 226,978.70 and 96,494.11

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Solution

The fourth proportional to 164,475.96, 226,978.70 and 96,494.11 is: 133,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,475.96 : 226,978.70 = 96,494.11 : x
  2. Step 2: Convert to fraction form
    164,475.96/226,978.70 = 96,494.11/x
  3. Step 3: Cross multiply
    164,475.96x = 226,978.70 × 96,494.11
  4. Step 4: Simplify right side
    164,475.96x = 21,902,107,645.46
  5. Step 5: Solve for x
    x = 21,902,107,645.46/164,475.96
  6. Step 6: Final answer
    x = 133,162.97

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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.