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Finding the Fourth Proportional to 119,540.70, 164,966.19 and 65,825.58

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Solution

The fourth proportional to 119,540.70, 164,966.19 and 65,825.58 is: 90,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,540.70 : 164,966.19 = 65,825.58 : x
  2. Step 2: Convert to fraction form
    119,540.70/164,966.19 = 65,825.58/x
  3. Step 3: Cross multiply
    119,540.70x = 164,966.19 × 65,825.58
  4. Step 4: Simplify right side
    119,540.70x = 10,858,995,137.14
  5. Step 5: Solve for x
    x = 10,858,995,137.14/119,540.70
  6. Step 6: Final answer
    x = 90,839.31

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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.