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Finding the Fourth Proportional to 122,863.91, 169,604.50 and 82,601.02

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Solution

The fourth proportional to 122,863.91, 169,604.50 and 82,601.02 is: 114,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,863.91 : 169,604.50 = 82,601.02 : x
  2. Step 2: Convert to fraction form
    122,863.91/169,604.50 = 82,601.02/x
  3. Step 3: Cross multiply
    122,863.91x = 169,604.50 × 82,601.02
  4. Step 4: Simplify right side
    122,863.91x = 14,009,504,696.59
  5. Step 5: Solve for x
    x = 14,009,504,696.59/122,863.91
  6. Step 6: Final answer
    x = 114,024.57

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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.