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Finding the Fourth Proportional to 119,458.57, 164,863.88 and 65,754.49

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Solution

The fourth proportional to 119,458.57, 164,863.88 and 65,754.49 is: 90,747.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,458.57 : 164,863.88 = 65,754.49 : x
  2. Step 2: Convert to fraction form
    119,458.57/164,863.88 = 65,754.49/x
  3. Step 3: Cross multiply
    119,458.57x = 164,863.88 × 65,754.49
  4. Step 4: Simplify right side
    119,458.57x = 10,840,540,348.82
  5. Step 5: Solve for x
    x = 10,840,540,348.82/119,458.57
  6. Step 6: Final answer
    x = 90,747.28

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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.