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Finding the Fourth Proportional to 137,286.59, 189,446.58 and 76,856.72

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Solution

The fourth proportional to 137,286.59, 189,446.58 and 76,856.72 is: 106,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,286.59 : 189,446.58 = 76,856.72 : x
  2. Step 2: Convert to fraction form
    137,286.59/189,446.58 = 76,856.72/x
  3. Step 3: Cross multiply
    137,286.59x = 189,446.58 × 76,856.72
  4. Step 4: Simplify right side
    137,286.59x = 14,560,241,806.78
  5. Step 5: Solve for x
    x = 14,560,241,806.78/137,286.59
  6. Step 6: Final answer
    x = 106,057.28

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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.