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Finding the Fourth Proportional to 160,105.38, 220,991.50 and 105,697.27

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Solution

The fourth proportional to 160,105.38, 220,991.50 and 105,697.27 is: 145,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,105.38 : 220,991.50 = 105,697.27 : x
  2. Step 2: Convert to fraction form
    160,105.38/220,991.50 = 105,697.27/x
  3. Step 3: Cross multiply
    160,105.38x = 220,991.50 × 105,697.27
  4. Step 4: Simplify right side
    160,105.38x = 23,358,198,243.21
  5. Step 5: Solve for x
    x = 23,358,198,243.21/160,105.38
  6. Step 6: Final answer
    x = 145,892.65

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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.