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Finding the Fourth Proportional to 165,143.62, 227,912.25 and 93,536.38

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Solution

The fourth proportional to 165,143.62, 227,912.25 and 93,536.38 is: 129,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,143.62 : 227,912.25 = 93,536.38 : x
  2. Step 2: Convert to fraction form
    165,143.62/227,912.25 = 93,536.38/x
  3. Step 3: Cross multiply
    165,143.62x = 227,912.25 × 93,536.38
  4. Step 4: Simplify right side
    165,143.62x = 21,318,086,822.66
  5. Step 5: Solve for x
    x = 21,318,086,822.66/165,143.62
  6. Step 6: Final answer
    x = 129,088.16

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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.