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Finding the Fourth Proportional to 193,642.88, 290,513.60 and 113,748.41

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Solution

The fourth proportional to 193,642.88, 290,513.60 and 113,748.41 is: 170,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,642.88 : 290,513.60 = 113,748.41 : x
  2. Step 2: Convert to fraction form
    193,642.88/290,513.60 = 113,748.41/x
  3. Step 3: Cross multiply
    193,642.88x = 290,513.60 × 113,748.41
  4. Step 4: Simplify right side
    193,642.88x = 33,045,458,062.07
  5. Step 5: Solve for x
    x = 33,045,458,062.07/193,642.88
  6. Step 6: Final answer
    x = 170,651.56

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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.