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Finding the Fourth Proportional to 259,983.44, 390,033.44 and 82,496.24

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Solution

The fourth proportional to 259,983.44, 390,033.44 and 82,496.24 is: 123,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,983.44 : 390,033.44 = 82,496.24 : x
  2. Step 2: Convert to fraction form
    259,983.44/390,033.44 = 82,496.24/x
  3. Step 3: Cross multiply
    259,983.44x = 390,033.44 × 82,496.24
  4. Step 4: Simplify right side
    259,983.44x = 32,176,292,274.27
  5. Step 5: Solve for x
    x = 32,176,292,274.27/259,983.44
  6. Step 6: Final answer
    x = 123,762.85

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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.