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Finding the Fourth Proportional to 214,105.56, 295,346.64 and 168,615.96

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Solution

The fourth proportional to 214,105.56, 295,346.64 and 168,615.96 is: 232,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,105.56 : 295,346.64 = 168,615.96 : x
  2. Step 2: Convert to fraction form
    214,105.56/295,346.64 = 168,615.96/x
  3. Step 3: Cross multiply
    214,105.56x = 295,346.64 × 168,615.96
  4. Step 4: Simplify right side
    214,105.56x = 49,800,157,236.37
  5. Step 5: Solve for x
    x = 49,800,157,236.37/214,105.56
  6. Step 6: Final answer
    x = 232,596.28

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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.