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Finding the Fourth Proportional to 193,542.14, 290,313.24 and 60,433.80

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Solution

The fourth proportional to 193,542.14, 290,313.24 and 60,433.80 is: 90,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,542.14 : 290,313.24 = 60,433.80 : x
  2. Step 2: Convert to fraction form
    193,542.14/290,313.24 = 60,433.80/x
  3. Step 3: Cross multiply
    193,542.14x = 290,313.24 × 60,433.80
  4. Step 4: Simplify right side
    193,542.14x = 17,544,732,283.51
  5. Step 5: Solve for x
    x = 17,544,732,283.51/193,542.14
  6. Step 6: Final answer
    x = 90,650.71

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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.