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Finding the Fourth Proportional to 196,532.84, 294,552.57 and 84,080.90

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Solution

The fourth proportional to 196,532.84, 294,552.57 and 84,080.90 is: 126,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,532.84 : 294,552.57 = 84,080.90 : x
  2. Step 2: Convert to fraction form
    196,532.84/294,552.57 = 84,080.90/x
  3. Step 3: Cross multiply
    196,532.84x = 294,552.57 × 84,080.90
  4. Step 4: Simplify right side
    196,532.84x = 24,766,245,182.91
  5. Step 5: Solve for x
    x = 24,766,245,182.91/196,532.84
  6. Step 6: Final answer
    x = 126,015.81

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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.