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Finding the Fourth Proportional to 122,884.86, 169,633.41 and 82,621.92

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Solution

The fourth proportional to 122,884.86, 169,633.41 and 82,621.92 is: 114,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,884.86 : 169,633.41 = 82,621.92 : x
  2. Step 2: Convert to fraction form
    122,884.86/169,633.41 = 82,621.92/x
  3. Step 3: Cross multiply
    122,884.86x = 169,633.41 × 82,621.92
  4. Step 4: Simplify right side
    122,884.86x = 14,015,438,030.35
  5. Step 5: Solve for x
    x = 14,015,438,030.35/122,884.86
  6. Step 6: Final answer
    x = 114,053.42

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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.