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Finding the Fourth Proportional to 191,241.63, 263,919.87 and 105,204.24

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Solution

The fourth proportional to 191,241.63, 263,919.87 and 105,204.24 is: 145,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,241.63 : 263,919.87 = 105,204.24 : x
  2. Step 2: Convert to fraction form
    191,241.63/263,919.87 = 105,204.24/x
  3. Step 3: Cross multiply
    191,241.63x = 263,919.87 × 105,204.24
  4. Step 4: Simplify right side
    191,241.63x = 27,765,489,344.25
  5. Step 5: Solve for x
    x = 27,765,489,344.25/191,241.63
  6. Step 6: Final answer
    x = 145,185.38

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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.