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Finding the Fourth Proportional to 182,561.92, 273,860.16 and 71,728

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Solution

The fourth proportional to 182,561.92, 273,860.16 and 71,728 is: 107,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,561.92 : 273,860.16 = 71,728 : x
  2. Step 2: Convert to fraction form
    182,561.92/273,860.16 = 71,728/x
  3. Step 3: Cross multiply
    182,561.92x = 273,860.16 × 71,728
  4. Step 4: Simplify right side
    182,561.92x = 19,643,441,556.48
  5. Step 5: Solve for x
    x = 19,643,441,556.48/182,561.92
  6. Step 6: Final answer
    x = 107,598.79

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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.