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Finding the Fourth Proportional to 137,411.82, 189,585.27 and 76,974.30

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Solution

The fourth proportional to 137,411.82, 189,585.27 and 76,974.30 is: 106,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411.82 : 189,585.27 = 76,974.30 : x
  2. Step 2: Convert to fraction form
    137,411.82/189,585.27 = 76,974.30/x
  3. Step 3: Cross multiply
    137,411.82x = 189,585.27 × 76,974.30
  4. Step 4: Simplify right side
    137,411.82x = 14,593,193,448.56
  5. Step 5: Solve for x
    x = 14,593,193,448.56/137,411.82
  6. Step 6: Final answer
    x = 106,200.42

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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.