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Finding the Fourth Proportional to 136,976.15, 189,026.54 and 76,546.77

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Solution

The fourth proportional to 136,976.15, 189,026.54 and 76,546.77 is: 105,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,976.15 : 189,026.54 = 76,546.77 : x
  2. Step 2: Convert to fraction form
    136,976.15/189,026.54 = 76,546.77/x
  3. Step 3: Cross multiply
    136,976.15x = 189,026.54 × 76,546.77
  4. Step 4: Simplify right side
    136,976.15x = 14,469,371,124.73
  5. Step 5: Solve for x
    x = 14,469,371,124.73/136,976.15
  6. Step 6: Final answer
    x = 105,634.24

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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.