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Finding the Fourth Proportional to 193,991.26, 291,057.96 and 81,699.74

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Solution

The fourth proportional to 193,991.26, 291,057.96 and 81,699.74 is: 122,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,991.26 : 291,057.96 = 81,699.74 : x
  2. Step 2: Convert to fraction form
    193,991.26/291,057.96 = 81,699.74/x
  3. Step 3: Cross multiply
    193,991.26x = 291,057.96 × 81,699.74
  4. Step 4: Simplify right side
    193,991.26x = 23,779,359,656.93
  5. Step 5: Solve for x
    x = 23,779,359,656.93/193,991.26
  6. Step 6: Final answer
    x = 122,579.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.