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Finding the Fourth Proportional to 281,820.66, 422,782.89 and 92,291.59

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Solution

The fourth proportional to 281,820.66, 422,782.89 and 92,291.59 is: 138,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,820.66 : 422,782.89 = 92,291.59 : x
  2. Step 2: Convert to fraction form
    281,820.66/422,782.89 = 92,291.59/x
  3. Step 3: Cross multiply
    281,820.66x = 422,782.89 × 92,291.59
  4. Step 4: Simplify right side
    281,820.66x = 39,019,305,142.90
  5. Step 5: Solve for x
    x = 39,019,305,142.90/281,820.66
  6. Step 6: Final answer
    x = 138,454.38

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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.