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Finding the Fourth Proportional to 164,588.40, 227,163.48 and 96,620.40

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Solution

The fourth proportional to 164,588.40, 227,163.48 and 96,620.40 is: 133,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,588.40 : 227,163.48 = 96,620.40 : x
  2. Step 2: Convert to fraction form
    164,588.40/227,163.48 = 96,620.40/x
  3. Step 3: Cross multiply
    164,588.40x = 227,163.48 × 96,620.40
  4. Step 4: Simplify right side
    164,588.40x = 21,948,626,302.99
  5. Step 5: Solve for x
    x = 21,948,626,302.99/164,588.40
  6. Step 6: Final answer
    x = 133,354.64

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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.