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Finding the Fourth Proportional to 80,133.84, 120,238.56 and 35,756.64

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Solution

The fourth proportional to 80,133.84, 120,238.56 and 35,756.64 is: 53,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,133.84 : 120,238.56 = 35,756.64 : x
  2. Step 2: Convert to fraction form
    80,133.84/120,238.56 = 35,756.64/x
  3. Step 3: Cross multiply
    80,133.84x = 120,238.56 × 35,756.64
  4. Step 4: Simplify right side
    80,133.84x = 4,299,326,904.04
  5. Step 5: Solve for x
    x = 4,299,326,904.04/80,133.84
  6. Step 6: Final answer
    x = 53,651.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.