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Finding the Fourth Proportional to 281,142.90, 421,714.35 and 81,469.80

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Solution

The fourth proportional to 281,142.90, 421,714.35 and 81,469.80 is: 122,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,142.90 : 421,714.35 = 81,469.80 : x
  2. Step 2: Convert to fraction form
    281,142.90/421,714.35 = 81,469.80/x
  3. Step 3: Cross multiply
    281,142.90x = 421,714.35 × 81,469.80
  4. Step 4: Simplify right side
    281,142.90x = 34,356,983,751.63
  5. Step 5: Solve for x
    x = 34,356,983,751.63/281,142.90
  6. Step 6: Final answer
    x = 122,204.70

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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.