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Finding the Fourth Proportional to 91,737.40, 137,606.10 and 82,114.60

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Solution

The fourth proportional to 91,737.40, 137,606.10 and 82,114.60 is: 123,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,737.40 : 137,606.10 = 82,114.60 : x
  2. Step 2: Convert to fraction form
    91,737.40/137,606.10 = 82,114.60/x
  3. Step 3: Cross multiply
    91,737.40x = 137,606.10 × 82,114.60
  4. Step 4: Simplify right side
    91,737.40x = 11,299,469,859.06
  5. Step 5: Solve for x
    x = 11,299,469,859.06/91,737.40
  6. Step 6: Final answer
    x = 123,171.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.