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Finding the Fourth Proportional to 193,496.85, 290,133.54 and 75,029.80

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Solution

The fourth proportional to 193,496.85, 290,133.54 and 75,029.80 is: 112,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,496.85 : 290,133.54 = 75,029.80 : x
  2. Step 2: Convert to fraction form
    193,496.85/290,133.54 = 75,029.80/x
  3. Step 3: Cross multiply
    193,496.85x = 290,133.54 × 75,029.80
  4. Step 4: Simplify right side
    193,496.85x = 21,768,659,653.68
  5. Step 5: Solve for x
    x = 21,768,659,653.68/193,496.85
  6. Step 6: Final answer
    x = 112,501.36

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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.