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Finding the Fourth Proportional to 132,805.80, 199,322.10 and 53,976.60

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Solution

The fourth proportional to 132,805.80, 199,322.10 and 53,976.60 is: 81,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,805.80 : 199,322.10 = 53,976.60 : x
  2. Step 2: Convert to fraction form
    132,805.80/199,322.10 = 53,976.60/x
  3. Step 3: Cross multiply
    132,805.80x = 199,322.10 × 53,976.60
  4. Step 4: Simplify right side
    132,805.80x = 10,758,729,262.86
  5. Step 5: Solve for x
    x = 10,758,729,262.86/132,805.80
  6. Step 6: Final answer
    x = 81,010.99

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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.