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Finding the Fourth Proportional to 295,795.76, 408,198.14 and 161,659.76

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Solution

The fourth proportional to 295,795.76, 408,198.14 and 161,659.76 is: 223,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,795.76 : 408,198.14 = 161,659.76 : x
  2. Step 2: Convert to fraction form
    295,795.76/408,198.14 = 161,659.76/x
  3. Step 3: Cross multiply
    295,795.76x = 408,198.14 × 161,659.76
  4. Step 4: Simplify right side
    295,795.76x = 65,989,213,344.85
  5. Step 5: Solve for x
    x = 65,989,213,344.85/295,795.76
  6. Step 6: Final answer
    x = 223,090.46

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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.