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Finding the Fourth Proportional to 281,142.70, 421,714.05 and 254,023.90

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Solution

The fourth proportional to 281,142.70, 421,714.05 and 254,023.90 is: 381,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,142.70 : 421,714.05 = 254,023.90 : x
  2. Step 2: Convert to fraction form
    281,142.70/421,714.05 = 254,023.90/x
  3. Step 3: Cross multiply
    281,142.70x = 421,714.05 × 254,023.90
  4. Step 4: Simplify right side
    281,142.70x = 107,125,447,665.80
  5. Step 5: Solve for x
    x = 107,125,447,665.80/281,142.70
  6. Step 6: Final answer
    x = 381,035.85

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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.