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Finding the Fourth Proportional to 187,871.96, 259,253.91 and 106,198.44

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Solution

The fourth proportional to 187,871.96, 259,253.91 and 106,198.44 is: 146,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,871.96 : 259,253.91 = 106,198.44 : x
  2. Step 2: Convert to fraction form
    187,871.96/259,253.91 = 106,198.44/x
  3. Step 3: Cross multiply
    187,871.96x = 259,253.91 × 106,198.44
  4. Step 4: Simplify right side
    187,871.96x = 27,532,360,805.90
  5. Step 5: Solve for x
    x = 27,532,360,805.90/187,871.96
  6. Step 6: Final answer
    x = 146,548.54

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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.