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Finding the Fourth Proportional to 187,666.38, 258,976.98 and 107,119.44

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Solution

The fourth proportional to 187,666.38, 258,976.98 and 107,119.44 is: 147,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,666.38 : 258,976.98 = 107,119.44 : x
  2. Step 2: Convert to fraction form
    187,666.38/258,976.98 = 107,119.44/x
  3. Step 3: Cross multiply
    187,666.38x = 258,976.98 × 107,119.44
  4. Step 4: Simplify right side
    187,666.38x = 27,741,469,070.49
  5. Step 5: Solve for x
    x = 27,741,469,070.49/187,666.38
  6. Step 6: Final answer
    x = 147,823.33

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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.