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Finding the Fourth Proportional to 281,626.78, 422,534.49 and 92,095.90

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Solution

The fourth proportional to 281,626.78, 422,534.49 and 92,095.90 is: 138,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,626.78 : 422,534.49 = 92,095.90 : x
  2. Step 2: Convert to fraction form
    281,626.78/422,534.49 = 92,095.90/x
  3. Step 3: Cross multiply
    281,626.78x = 422,534.49 × 92,095.90
  4. Step 4: Simplify right side
    281,626.78x = 38,913,694,137.59
  5. Step 5: Solve for x
    x = 38,913,694,137.59/281,626.78
  6. Step 6: Final answer
    x = 138,174.69

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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.