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Finding the Fourth Proportional to 193,367.25, 290,163.78 and 81,038.16

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Solution

The fourth proportional to 193,367.25, 290,163.78 and 81,038.16 is: 121,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,367.25 : 290,163.78 = 81,038.16 : x
  2. Step 2: Convert to fraction form
    193,367.25/290,163.78 = 81,038.16/x
  3. Step 3: Cross multiply
    193,367.25x = 290,163.78 × 81,038.16
  4. Step 4: Simplify right side
    193,367.25x = 23,514,338,829.84
  5. Step 5: Solve for x
    x = 23,514,338,829.84/193,367.25
  6. Step 6: Final answer
    x = 121,604.56

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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.