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Finding the Fourth Proportional to 191,896.86, 264,805.17 and 105,850.65

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Solution

The fourth proportional to 191,896.86, 264,805.17 and 105,850.65 is: 146,067.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,896.86 : 264,805.17 = 105,850.65 : x
  2. Step 2: Convert to fraction form
    191,896.86/264,805.17 = 105,850.65/x
  3. Step 3: Cross multiply
    191,896.86x = 264,805.17 × 105,850.65
  4. Step 4: Simplify right side
    191,896.86x = 28,029,799,367.86
  5. Step 5: Solve for x
    x = 28,029,799,367.86/191,896.86
  6. Step 6: Final answer
    x = 146,067.00

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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.