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Finding the Fourth Proportional to 122,858.20, 169,596.63 and 82,595.31

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Solution

The fourth proportional to 122,858.20, 169,596.63 and 82,595.31 is: 114,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,858.20 : 169,596.63 = 82,595.31 : x
  2. Step 2: Convert to fraction form
    122,858.20/169,596.63 = 82,595.31/x
  3. Step 3: Cross multiply
    122,858.20x = 169,596.63 × 82,595.31
  4. Step 4: Simplify right side
    122,858.20x = 14,007,886,447.31
  5. Step 5: Solve for x
    x = 14,007,886,447.31/122,858.20
  6. Step 6: Final answer
    x = 114,016.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.