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Finding the Fourth Proportional to 164,081.16, 226,434.96 and 96,147

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Solution

The fourth proportional to 164,081.16, 226,434.96 and 96,147 is: 132,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,081.16 : 226,434.96 = 96,147 : x
  2. Step 2: Convert to fraction form
    164,081.16/226,434.96 = 96,147/x
  3. Step 3: Cross multiply
    164,081.16x = 226,434.96 × 96,147
  4. Step 4: Simplify right side
    164,081.16x = 21,771,042,099.12
  5. Step 5: Solve for x
    x = 21,771,042,099.12/164,081.16
  6. Step 6: Final answer
    x = 132,684.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.