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Finding the Fourth Proportional to 281,967.26, 422,943.86 and 82,289.38

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Solution

The fourth proportional to 281,967.26, 422,943.86 and 82,289.38 is: 123,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,967.26 : 422,943.86 = 82,289.38 : x
  2. Step 2: Convert to fraction form
    281,967.26/422,943.86 = 82,289.38/x
  3. Step 3: Cross multiply
    281,967.26x = 422,943.86 × 82,289.38
  4. Step 4: Simplify right side
    281,967.26x = 34,803,786,545.40
  5. Step 5: Solve for x
    x = 34,803,786,545.40/281,967.26
  6. Step 6: Final answer
    x = 123,432.01

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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.