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Finding the Fourth Proportional to 144,958.92, 199,997.91 and 83,697.10

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Solution

The fourth proportional to 144,958.92, 199,997.91 and 83,697.10 is: 115,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,958.92 : 199,997.91 = 83,697.10 : x
  2. Step 2: Convert to fraction form
    144,958.92/199,997.91 = 83,697.10/x
  3. Step 3: Cross multiply
    144,958.92x = 199,997.91 × 83,697.10
  4. Step 4: Simplify right side
    144,958.92x = 16,739,244,573.07
  5. Step 5: Solve for x
    x = 16,739,244,573.07/144,958.92
  6. Step 6: Final answer
    x = 115,475.78

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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.