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Finding the Fourth Proportional to 101,231.96, 151,940.64 and 51,346.52

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Solution

The fourth proportional to 101,231.96, 151,940.64 and 51,346.52 is: 77,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,231.96 : 151,940.64 = 51,346.52 : x
  2. Step 2: Convert to fraction form
    101,231.96/151,940.64 = 51,346.52/x
  3. Step 3: Cross multiply
    101,231.96x = 151,940.64 × 51,346.52
  4. Step 4: Simplify right side
    101,231.96x = 7,801,623,110.57
  5. Step 5: Solve for x
    x = 7,801,623,110.57/101,231.96
  6. Step 6: Final answer
    x = 77,066.80

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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.