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Finding the Fourth Proportional to 149,658.52, 206,533.09 and 81,679.83

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Solution

The fourth proportional to 149,658.52, 206,533.09 and 81,679.83 is: 112,720.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,658.52 : 206,533.09 = 81,679.83 : x
  2. Step 2: Convert to fraction form
    149,658.52/206,533.09 = 81,679.83/x
  3. Step 3: Cross multiply
    149,658.52x = 206,533.09 × 81,679.83
  4. Step 4: Simplify right side
    149,658.52x = 16,869,586,548.73
  5. Step 5: Solve for x
    x = 16,869,586,548.73/149,658.52
  6. Step 6: Final answer
    x = 112,720.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.