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Finding the Fourth Proportional to 191,941.73, 264,878.85 and 105,906.07

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Solution

The fourth proportional to 191,941.73, 264,878.85 and 105,906.07 is: 146,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,941.73 : 264,878.85 = 105,906.07 : x
  2. Step 2: Convert to fraction form
    191,941.73/264,878.85 = 105,906.07/x
  3. Step 3: Cross multiply
    191,941.73x = 264,878.85 × 105,906.07
  4. Step 4: Simplify right side
    191,941.73x = 28,052,278,757.87
  5. Step 5: Solve for x
    x = 28,052,278,757.87/191,941.73
  6. Step 6: Final answer
    x = 146,149.97

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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.