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Finding the Fourth Proportional to 193,689.33, 290,550.75 and 53,447.95

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Solution

The fourth proportional to 193,689.33, 290,550.75 and 53,447.95 is: 80,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,689.33 : 290,550.75 = 53,447.95 : x
  2. Step 2: Convert to fraction form
    193,689.33/290,550.75 = 53,447.95/x
  3. Step 3: Cross multiply
    193,689.33x = 290,550.75 × 53,447.95
  4. Step 4: Simplify right side
    193,689.33x = 15,529,342,121.22
  5. Step 5: Solve for x
    x = 15,529,342,121.22/193,689.33
  6. Step 6: Final answer
    x = 80,176.55

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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.