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Finding the Fourth Proportional to 165,141.38, 227,894.90 and 89,689.34

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Solution

The fourth proportional to 165,141.38, 227,894.90 and 89,689.34 is: 123,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,141.38 : 227,894.90 = 89,689.34 : x
  2. Step 2: Convert to fraction form
    165,141.38/227,894.90 = 89,689.34/x
  3. Step 3: Cross multiply
    165,141.38x = 227,894.90 × 89,689.34
  4. Step 4: Simplify right side
    165,141.38x = 20,439,743,170.37
  5. Step 5: Solve for x
    x = 20,439,743,170.37/165,141.38
  6. Step 6: Final answer
    x = 123,771.18

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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.