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Finding the Fourth Proportional to 187,706.94, 258,983.97 and 107,105.46

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Solution

The fourth proportional to 187,706.94, 258,983.97 and 107,105.46 is: 147,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,706.94 : 258,983.97 = 107,105.46 : x
  2. Step 2: Convert to fraction form
    187,706.94/258,983.97 = 107,105.46/x
  3. Step 3: Cross multiply
    187,706.94x = 258,983.97 × 107,105.46
  4. Step 4: Simplify right side
    187,706.94x = 27,738,597,239.48
  5. Step 5: Solve for x
    x = 27,738,597,239.48/187,706.94
  6. Step 6: Final answer
    x = 147,776.09

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1.5x scale

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.