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Finding the Fourth Proportional to 102,687.57, 153,816.69 and 82,588.41

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Solution

The fourth proportional to 102,687.57, 153,816.69 and 82,588.41 is: 123,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,687.57 : 153,816.69 = 82,588.41 : x
  2. Step 2: Convert to fraction form
    102,687.57/153,816.69 = 82,588.41/x
  3. Step 3: Cross multiply
    102,687.57x = 153,816.69 × 82,588.41
  4. Step 4: Simplify right side
    102,687.57x = 12,703,475,858.56
  5. Step 5: Solve for x
    x = 12,703,475,858.56/102,687.57
  6. Step 6: Final answer
    x = 123,709.97

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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.