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Finding the Fourth Proportional to 191,941.86, 264,879.02 and 105,906.20

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Solution

The fourth proportional to 191,941.86, 264,879.02 and 105,906.20 is: 146,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,941.86 : 264,879.02 = 105,906.20 : x
  2. Step 2: Convert to fraction form
    191,941.86/264,879.02 = 105,906.20/x
  3. Step 3: Cross multiply
    191,941.86x = 264,879.02 × 105,906.20
  4. Step 4: Simplify right side
    191,941.86x = 28,052,330,467.92
  5. Step 5: Solve for x
    x = 28,052,330,467.92/191,941.86
  6. Step 6: Final answer
    x = 146,150.14

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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.