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Finding the Fourth Proportional to 271,176.60, 405,987.30 and 166,200.60

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Solution

The fourth proportional to 271,176.60, 405,987.30 and 166,200.60 is: 248,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,176.60 : 405,987.30 = 166,200.60 : x
  2. Step 2: Convert to fraction form
    271,176.60/405,987.30 = 166,200.60/x
  3. Step 3: Cross multiply
    271,176.60x = 405,987.30 × 166,200.60
  4. Step 4: Simplify right side
    271,176.60x = 67,475,332,852.38
  5. Step 5: Solve for x
    x = 67,475,332,852.38/271,176.60
  6. Step 6: Final answer
    x = 248,824.32

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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.