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Finding the Fourth Proportional to 131,326.20, 196,697.70 and 107,998.20

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Solution

The fourth proportional to 131,326.20, 196,697.70 and 107,998.20 is: 161,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,326.20 : 196,697.70 = 107,998.20 : x
  2. Step 2: Convert to fraction form
    131,326.20/196,697.70 = 107,998.20/x
  3. Step 3: Cross multiply
    131,326.20x = 196,697.70 × 107,998.20
  4. Step 4: Simplify right side
    131,326.20x = 21,242,997,544.14
  5. Step 5: Solve for x
    x = 21,242,997,544.14/131,326.20
  6. Step 6: Final answer
    x = 161,757.50

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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.