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Finding the Fourth Proportional to 191,843.43, 264,745.65 and 105,805.74

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Solution

The fourth proportional to 191,843.43, 264,745.65 and 105,805.74 is: 146,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,843.43 : 264,745.65 = 105,805.74 : x
  2. Step 2: Convert to fraction form
    191,843.43/264,745.65 = 105,805.74/x
  3. Step 3: Cross multiply
    191,843.43x = 264,745.65 × 105,805.74
  4. Step 4: Simplify right side
    191,843.43x = 28,011,608,881.00
  5. Step 5: Solve for x
    x = 28,011,608,881.00/191,843.43
  6. Step 6: Final answer
    x = 146,012.87

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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.