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Finding the Fourth Proportional to 137,338.56, 189,539.14 and 76,908.11

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Solution

The fourth proportional to 137,338.56, 189,539.14 and 76,908.11 is: 106,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,338.56 : 189,539.14 = 76,908.11 : x
  2. Step 2: Convert to fraction form
    137,338.56/189,539.14 = 76,908.11/x
  3. Step 3: Cross multiply
    137,338.56x = 189,539.14 × 76,908.11
  4. Step 4: Simplify right side
    137,338.56x = 14,577,097,028.43
  5. Step 5: Solve for x
    x = 14,577,097,028.43/137,338.56
  6. Step 6: Final answer
    x = 106,139.87

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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.