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Finding the Fourth Proportional to 184,193.96, 253,942.98 and 120,422.12

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Solution

The fourth proportional to 184,193.96, 253,942.98 and 120,422.12 is: 166,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,193.96 : 253,942.98 = 120,422.12 : x
  2. Step 2: Convert to fraction form
    184,193.96/253,942.98 = 120,422.12/x
  3. Step 3: Cross multiply
    184,193.96x = 253,942.98 × 120,422.12
  4. Step 4: Simplify right side
    184,193.96x = 30,580,352,010.72
  5. Step 5: Solve for x
    x = 30,580,352,010.72/184,193.96
  6. Step 6: Final answer
    x = 166,022.56

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1.5x scale

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.