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Finding the Fourth Proportional to 281,462.48, 422,195.88 and 81,796.40

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Solution

The fourth proportional to 281,462.48, 422,195.88 and 81,796.40 is: 122,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,462.48 : 422,195.88 = 81,796.40 : x
  2. Step 2: Convert to fraction form
    281,462.48/422,195.88 = 81,796.40/x
  3. Step 3: Cross multiply
    281,462.48x = 422,195.88 × 81,796.40
  4. Step 4: Simplify right side
    281,462.48x = 34,534,103,078.83
  5. Step 5: Solve for x
    x = 34,534,103,078.83/281,462.48
  6. Step 6: Final answer
    x = 122,695.23

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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.