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Finding the Fourth Proportional to 191,767.96, 264,530.04 and 120,023.42

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Solution

The fourth proportional to 191,767.96, 264,530.04 and 120,023.42 is: 165,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,767.96 : 264,530.04 = 120,023.42 : x
  2. Step 2: Convert to fraction form
    191,767.96/264,530.04 = 120,023.42/x
  3. Step 3: Cross multiply
    191,767.96x = 264,530.04 × 120,023.42
  4. Step 4: Simplify right side
    191,767.96x = 31,749,800,093.54
  5. Step 5: Solve for x
    x = 31,749,800,093.54/191,767.96
  6. Step 6: Final answer
    x = 165,563.64

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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.