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Finding the Fourth Proportional to 313,160.82, 469,136.58 and 186,901.80

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Solution

The fourth proportional to 313,160.82, 469,136.58 and 186,901.80 is: 279,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,160.82 : 469,136.58 = 186,901.80 : x
  2. Step 2: Convert to fraction form
    313,160.82/469,136.58 = 186,901.80/x
  3. Step 3: Cross multiply
    313,160.82x = 469,136.58 × 186,901.80
  4. Step 4: Simplify right side
    313,160.82x = 87,682,471,247.84
  5. Step 5: Solve for x
    x = 87,682,471,247.84/313,160.82
  6. Step 6: Final answer
    x = 279,991.83

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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.