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Finding the Fourth Proportional to 98,396.10, 135,648 and 83,227.43

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Solution

The fourth proportional to 98,396.10, 135,648 and 83,227.43 is: 114,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,396.10 : 135,648 = 83,227.43 : x
  2. Step 2: Convert to fraction form
    98,396.10/135,648 = 83,227.43/x
  3. Step 3: Cross multiply
    98,396.10x = 135,648 × 83,227.43
  4. Step 4: Simplify right side
    98,396.10x = 11,289,634,763.76
  5. Step 5: Solve for x
    x = 11,289,634,763.76/98,396.10
  6. Step 6: Final answer
    x = 114,736.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.