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Finding the Fourth Proportional to 86,843.20, 130,264.80 and 82,004.80

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Solution

The fourth proportional to 86,843.20, 130,264.80 and 82,004.80 is: 123,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,843.20 : 130,264.80 = 82,004.80 : x
  2. Step 2: Convert to fraction form
    86,843.20/130,264.80 = 82,004.80/x
  3. Step 3: Cross multiply
    86,843.20x = 130,264.80 × 82,004.80
  4. Step 4: Simplify right side
    86,843.20x = 10,682,338,871.04
  5. Step 5: Solve for x
    x = 10,682,338,871.04/86,843.20
  6. Step 6: Final answer
    x = 123,007.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.