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Finding the Fourth Proportional to 193,435.92, 290,060.50 and 81,085.97

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Solution

The fourth proportional to 193,435.92, 290,060.50 and 81,085.97 is: 121,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,435.92 : 290,060.50 = 81,085.97 : x
  2. Step 2: Convert to fraction form
    193,435.92/290,060.50 = 81,085.97/x
  3. Step 3: Cross multiply
    193,435.92x = 290,060.50 × 81,085.97
  4. Step 4: Simplify right side
    193,435.92x = 23,519,835,145.45
  5. Step 5: Solve for x
    x = 23,519,835,145.45/193,435.92
  6. Step 6: Final answer
    x = 121,589.80

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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.