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Finding the Fourth Proportional to 164,469.80, 226,970.17 and 96,487.94

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Solution

The fourth proportional to 164,469.80, 226,970.17 and 96,487.94 is: 133,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,469.80 : 226,970.17 = 96,487.94 : x
  2. Step 2: Convert to fraction form
    164,469.80/226,970.17 = 96,487.94/x
  3. Step 3: Cross multiply
    164,469.80x = 226,970.17 × 96,487.94
  4. Step 4: Simplify right side
    164,469.80x = 21,899,883,009.90
  5. Step 5: Solve for x
    x = 21,899,883,009.90/164,469.80
  6. Step 6: Final answer
    x = 133,154.44

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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.