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Finding the Fourth Proportional to 164,504.57, 227,017.89 and 96,522.71

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Solution

The fourth proportional to 164,504.57, 227,017.89 and 96,522.71 is: 133,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,504.57 : 227,017.89 = 96,522.71 : x
  2. Step 2: Convert to fraction form
    164,504.57/227,017.89 = 96,522.71/x
  3. Step 3: Cross multiply
    164,504.57x = 227,017.89 × 96,522.71
  4. Step 4: Simplify right side
    164,504.57x = 21,912,380,826.19
  5. Step 5: Solve for x
    x = 21,912,380,826.19/164,504.57
  6. Step 6: Final answer
    x = 133,202.27

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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.