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Finding the Fourth Proportional to 193,644.96, 290,394.36 and 75,301.44

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Solution

The fourth proportional to 193,644.96, 290,394.36 and 75,301.44 is: 112,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,644.96 : 290,394.36 = 75,301.44 : x
  2. Step 2: Convert to fraction form
    193,644.96/290,394.36 = 75,301.44/x
  3. Step 3: Cross multiply
    193,644.96x = 290,394.36 × 75,301.44
  4. Step 4: Simplify right side
    193,644.96x = 21,867,113,475.88
  5. Step 5: Solve for x
    x = 21,867,113,475.88/193,644.96
  6. Step 6: Final answer
    x = 112,923.74

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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.