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Finding the Fourth Proportional to 119,616.97, 164,879 and 80,842.66

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Solution

The fourth proportional to 119,616.97, 164,879 and 80,842.66 is: 111,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,616.97 : 164,879 = 80,842.66 : x
  2. Step 2: Convert to fraction form
    119,616.97/164,879 = 80,842.66/x
  3. Step 3: Cross multiply
    119,616.97x = 164,879 × 80,842.66
  4. Step 4: Simplify right side
    119,616.97x = 13,329,256,938.14
  5. Step 5: Solve for x
    x = 13,329,256,938.14/119,616.97
  6. Step 6: Final answer
    x = 111,432.83

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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.