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Finding the Fourth Proportional to 295,902.02, 408,336.59 and 166,839.37

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Solution

The fourth proportional to 295,902.02, 408,336.59 and 166,839.37 is: 230,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,902.02 : 408,336.59 = 166,839.37 : x
  2. Step 2: Convert to fraction form
    295,902.02/408,336.59 = 166,839.37/x
  3. Step 3: Cross multiply
    295,902.02x = 408,336.59 × 166,839.37
  4. Step 4: Simplify right side
    295,902.02x = 68,126,618,819.81
  5. Step 5: Solve for x
    x = 68,126,618,819.81/295,902.02
  6. Step 6: Final answer
    x = 230,233.70

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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.