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Finding the Fourth Proportional to 193,649.92, 290,350.56 and 75,195.04

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Solution

The fourth proportional to 193,649.92, 290,350.56 and 75,195.04 is: 112,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,649.92 : 290,350.56 = 75,195.04 : x
  2. Step 2: Convert to fraction form
    193,649.92/290,350.56 = 75,195.04/x
  3. Step 3: Cross multiply
    193,649.92x = 290,350.56 × 75,195.04
  4. Step 4: Simplify right side
    193,649.92x = 21,832,921,973.22
  5. Step 5: Solve for x
    x = 21,832,921,973.22/193,649.92
  6. Step 6: Final answer
    x = 112,744.29

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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.