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Finding the Fourth Proportional to 133,737.32, 184,576.40 and 82,766.47

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Solution

The fourth proportional to 133,737.32, 184,576.40 and 82,766.47 is: 114,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,737.32 : 184,576.40 = 82,766.47 : x
  2. Step 2: Convert to fraction form
    133,737.32/184,576.40 = 82,766.47/x
  3. Step 3: Cross multiply
    133,737.32x = 184,576.40 × 82,766.47
  4. Step 4: Simplify right side
    133,737.32x = 15,276,737,073.31
  5. Step 5: Solve for x
    x = 15,276,737,073.31/133,737.32
  6. Step 6: Final answer
    x = 114,229.42

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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.