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Finding the Fourth Proportional to 214,077.96, 295,147.50 and 184,184.39

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Solution

The fourth proportional to 214,077.96, 295,147.50 and 184,184.39 is: 253,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,077.96 : 295,147.50 = 184,184.39 : x
  2. Step 2: Convert to fraction form
    214,077.96/295,147.50 = 184,184.39/x
  3. Step 3: Cross multiply
    214,077.96x = 295,147.50 × 184,184.39
  4. Step 4: Simplify right side
    214,077.96x = 54,361,560,771.79
  5. Step 5: Solve for x
    x = 54,361,560,771.79/214,077.96
  6. Step 6: Final answer
    x = 253,933.48

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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.