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Finding the Fourth Proportional to 100,997.64, 151,502.67 and 41,837.94

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Solution

The fourth proportional to 100,997.64, 151,502.67 and 41,837.94 is: 62,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,997.64 : 151,502.67 = 41,837.94 : x
  2. Step 2: Convert to fraction form
    100,997.64/151,502.67 = 41,837.94/x
  3. Step 3: Cross multiply
    100,997.64x = 151,502.67 × 41,837.94
  4. Step 4: Simplify right side
    100,997.64x = 6,338,559,617.30
  5. Step 5: Solve for x
    x = 6,338,559,617.30/100,997.64
  6. Step 6: Final answer
    x = 62,759.48

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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.