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Finding the Fourth Proportional to 146,262.50, 201,842.25 and 79,194.50

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Solution

The fourth proportional to 146,262.50, 201,842.25 and 79,194.50 is: 109,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,262.50 : 201,842.25 = 79,194.50 : x
  2. Step 2: Convert to fraction form
    146,262.50/201,842.25 = 79,194.50/x
  3. Step 3: Cross multiply
    146,262.50x = 201,842.25 × 79,194.50
  4. Step 4: Simplify right side
    146,262.50x = 15,984,796,067.63
  5. Step 5: Solve for x
    x = 15,984,796,067.63/146,262.50
  6. Step 6: Final answer
    x = 109,288.41

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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.