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Finding the Fourth Proportional to 281,650.80, 422,503.80 and 81,973.20

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Solution

The fourth proportional to 281,650.80, 422,503.80 and 81,973.20 is: 122,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,650.80 : 422,503.80 = 81,973.20 : x
  2. Step 2: Convert to fraction form
    281,650.80/422,503.80 = 81,973.20/x
  3. Step 3: Cross multiply
    281,650.80x = 422,503.80 × 81,973.20
  4. Step 4: Simplify right side
    281,650.80x = 34,633,988,498.16
  5. Step 5: Solve for x
    x = 34,633,988,498.16/281,650.80
  6. Step 6: Final answer
    x = 122,967.83

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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.