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Finding the Fourth Proportional to 193,645.40, 290,468.10 and 81,452.30

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Solution

The fourth proportional to 193,645.40, 290,468.10 and 81,452.30 is: 122,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,645.40 : 290,468.10 = 81,452.30 : x
  2. Step 2: Convert to fraction form
    193,645.40/290,468.10 = 81,452.30/x
  3. Step 3: Cross multiply
    193,645.40x = 290,468.10 × 81,452.30
  4. Step 4: Simplify right side
    193,645.40x = 23,659,294,821.63
  5. Step 5: Solve for x
    x = 23,659,294,821.63/193,645.40
  6. Step 6: Final answer
    x = 122,178.45

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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.