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Finding the Fourth Proportional to 146,271.94, 201,859.26 and 82,619.20

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Solution

The fourth proportional to 146,271.94, 201,859.26 and 82,619.20 is: 114,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,271.94 : 201,859.26 = 82,619.20 : x
  2. Step 2: Convert to fraction form
    146,271.94/201,859.26 = 82,619.20/x
  3. Step 3: Cross multiply
    146,271.94x = 201,859.26 × 82,619.20
  4. Step 4: Simplify right side
    146,271.94x = 16,677,450,573.79
  5. Step 5: Solve for x
    x = 16,677,450,573.79/146,271.94
  6. Step 6: Final answer
    x = 114,016.75

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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.