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Finding the Fourth Proportional to 98,267.27, 135,471.44 and 83,099.00

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Solution

The fourth proportional to 98,267.27, 135,471.44 and 83,099.00 is: 114,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,267.27 : 135,471.44 = 83,099.00 : x
  2. Step 2: Convert to fraction form
    98,267.27/135,471.44 = 83,099.00/x
  3. Step 3: Cross multiply
    98,267.27x = 135,471.44 × 83,099.00
  4. Step 4: Simplify right side
    98,267.27x = 11,257,540,099.71
  5. Step 5: Solve for x
    x = 11,257,540,099.71/98,267.27
  6. Step 6: Final answer
    x = 114,560.43

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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.