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Finding the Fourth Proportional to 164,920.50, 227,590.38 and 89,469

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Solution

The fourth proportional to 164,920.50, 227,590.38 and 89,469 is: 123,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,920.50 : 227,590.38 = 89,469 : x
  2. Step 2: Convert to fraction form
    164,920.50/227,590.38 = 89,469/x
  3. Step 3: Cross multiply
    164,920.50x = 227,590.38 × 89,469
  4. Step 4: Simplify right side
    164,920.50x = 20,362,283,708.22
  5. Step 5: Solve for x
    x = 20,362,283,708.22/164,920.50
  6. Step 6: Final answer
    x = 123,467.27

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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.