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Finding the Fourth Proportional to 193,903.92, 290,799.36 and 75,548.88

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Solution

The fourth proportional to 193,903.92, 290,799.36 and 75,548.88 is: 113,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,903.92 : 290,799.36 = 75,548.88 : x
  2. Step 2: Convert to fraction form
    193,903.92/290,799.36 = 75,548.88/x
  3. Step 3: Cross multiply
    193,903.92x = 290,799.36 × 75,548.88
  4. Step 4: Simplify right side
    193,903.92x = 21,969,565,952.72
  5. Step 5: Solve for x
    x = 21,969,565,952.72/193,903.92
  6. Step 6: Final answer
    x = 113,301.30

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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.