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Finding the Fourth Proportional to 164,469.26, 226,969.62 and 96,482.72

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Solution

The fourth proportional to 164,469.26, 226,969.62 and 96,482.72 is: 133,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,469.26 : 226,969.62 = 96,482.72 : x
  2. Step 2: Convert to fraction form
    164,469.26/226,969.62 = 96,482.72/x
  3. Step 3: Cross multiply
    164,469.26x = 226,969.62 × 96,482.72
  4. Step 4: Simplify right side
    164,469.26x = 21,898,646,294.97
  5. Step 5: Solve for x
    x = 21,898,646,294.97/164,469.26
  6. Step 6: Final answer
    x = 133,147.35

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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.