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Finding the Fourth Proportional to 132,767.97, 199,144.65 and 53,861.01

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Solution

The fourth proportional to 132,767.97, 199,144.65 and 53,861.01 is: 80,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,767.97 : 199,144.65 = 53,861.01 : x
  2. Step 2: Convert to fraction form
    132,767.97/199,144.65 = 53,861.01/x
  3. Step 3: Cross multiply
    132,767.97x = 199,144.65 × 53,861.01
  4. Step 4: Simplify right side
    132,767.97x = 10,726,131,985.10
  5. Step 5: Solve for x
    x = 10,726,131,985.10/132,767.97
  6. Step 6: Final answer
    x = 80,788.55

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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.