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Finding the Fourth Proportional to 295,180.57, 407,276.91 and 166,093.88

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Solution

The fourth proportional to 295,180.57, 407,276.91 and 166,093.88 is: 229,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,180.57 : 407,276.91 = 166,093.88 : x
  2. Step 2: Convert to fraction form
    295,180.57/407,276.91 = 166,093.88/x
  3. Step 3: Cross multiply
    295,180.57x = 407,276.91 × 166,093.88
  4. Step 4: Simplify right side
    295,180.57x = 67,646,200,179.93
  5. Step 5: Solve for x
    x = 67,646,200,179.93/295,180.57
  6. Step 6: Final answer
    x = 229,168.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.