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Finding the Fourth Proportional to 193,672.71, 290,525.80 and 53,431.33

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Solution

The fourth proportional to 193,672.71, 290,525.80 and 53,431.33 is: 80,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,672.71 : 290,525.80 = 53,431.33 : x
  2. Step 2: Convert to fraction form
    193,672.71/290,525.80 = 53,431.33/x
  3. Step 3: Cross multiply
    193,672.71x = 290,525.80 × 53,431.33
  4. Step 4: Simplify right side
    193,672.71x = 15,523,179,626.16
  5. Step 5: Solve for x
    x = 15,523,179,626.16/193,672.71
  6. Step 6: Final answer
    x = 80,151.61

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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.