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Finding the Fourth Proportional to 271,914.80, 407,710.20 and 166,809.20

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Solution

The fourth proportional to 271,914.80, 407,710.20 and 166,809.20 is: 250,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,914.80 : 407,710.20 = 166,809.20 : x
  2. Step 2: Convert to fraction form
    271,914.80/407,710.20 = 166,809.20/x
  3. Step 3: Cross multiply
    271,914.80x = 407,710.20 × 166,809.20
  4. Step 4: Simplify right side
    271,914.80x = 68,009,812,293.84
  5. Step 5: Solve for x
    x = 68,009,812,293.84/271,914.80
  6. Step 6: Final answer
    x = 250,114.42

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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.