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Finding the Fourth Proportional to 137,336.56, 189,536.38 and 76,906.11

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Solution

The fourth proportional to 137,336.56, 189,536.38 and 76,906.11 is: 106,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,336.56 : 189,536.38 = 76,906.11 : x
  2. Step 2: Convert to fraction form
    137,336.56/189,536.38 = 76,906.11/x
  3. Step 3: Cross multiply
    137,336.56x = 189,536.38 × 76,906.11
  4. Step 4: Simplify right side
    137,336.56x = 14,576,505,357.93
  5. Step 5: Solve for x
    x = 14,576,505,357.93/137,336.56
  6. Step 6: Final answer
    x = 106,137.11

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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.