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Finding the Fourth Proportional to 271,836.34, 407,765.31 and 84,847.84

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Solution

The fourth proportional to 271,836.34, 407,765.31 and 84,847.84 is: 127,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,836.34 : 407,765.31 = 84,847.84 : x
  2. Step 2: Convert to fraction form
    271,836.34/407,765.31 = 84,847.84/x
  3. Step 3: Cross multiply
    271,836.34x = 407,765.31 × 84,847.84
  4. Step 4: Simplify right side
    271,836.34x = 34,598,005,780.43
  5. Step 5: Solve for x
    x = 34,598,005,780.43/271,836.34
  6. Step 6: Final answer
    x = 127,275.13

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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.