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Finding the Fourth Proportional to 97,967.22, 146,992.43 and 53,542.07

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Solution

The fourth proportional to 97,967.22, 146,992.43 and 53,542.07 is: 80,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,967.22 : 146,992.43 = 53,542.07 : x
  2. Step 2: Convert to fraction form
    97,967.22/146,992.43 = 53,542.07/x
  3. Step 3: Cross multiply
    97,967.22x = 146,992.43 × 53,542.07
  4. Step 4: Simplify right side
    97,967.22x = 7,870,278,241.57
  5. Step 5: Solve for x
    x = 7,870,278,241.57/97,967.22
  6. Step 6: Final answer
    x = 80,335.84

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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.