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Finding the Fourth Proportional to 137,340.54, 189,508.05 and 76,913.73

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Solution

The fourth proportional to 137,340.54, 189,508.05 and 76,913.73 is: 106,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,340.54 : 189,508.05 = 76,913.73 : x
  2. Step 2: Convert to fraction form
    137,340.54/189,508.05 = 76,913.73/x
  3. Step 3: Cross multiply
    137,340.54x = 189,508.05 × 76,913.73
  4. Step 4: Simplify right side
    137,340.54x = 14,575,770,990.53
  5. Step 5: Solve for x
    x = 14,575,770,990.53/137,340.54
  6. Step 6: Final answer
    x = 106,128.69

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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.