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Finding the Fourth Proportional to 187,762.38, 259,136.19 and 107,171.43

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Solution

The fourth proportional to 187,762.38, 259,136.19 and 107,171.43 is: 147,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,762.38 : 259,136.19 = 107,171.43 : x
  2. Step 2: Convert to fraction form
    187,762.38/259,136.19 = 107,171.43/x
  3. Step 3: Cross multiply
    187,762.38x = 259,136.19 × 107,171.43
  4. Step 4: Simplify right side
    187,762.38x = 27,771,996,047.05
  5. Step 5: Solve for x
    x = 27,771,996,047.05/187,762.38
  6. Step 6: Final answer
    x = 147,910.33

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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.