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Finding the Fourth Proportional to 97,481.66, 146,268.97 and 53,107.43

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Solution

The fourth proportional to 97,481.66, 146,268.97 and 53,107.43 is: 79,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,481.66 : 146,268.97 = 53,107.43 : x
  2. Step 2: Convert to fraction form
    97,481.66/146,268.97 = 53,107.43/x
  3. Step 3: Cross multiply
    97,481.66x = 146,268.97 × 53,107.43
  4. Step 4: Simplify right side
    97,481.66x = 7,767,968,221.33
  5. Step 5: Solve for x
    x = 7,767,968,221.33/97,481.66
  6. Step 6: Final answer
    x = 79,686.46

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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.